Find the exact essay by Emerson in which the following incomplete line appears:
"Let the innermost become the outermost and ...."
Please complete the full quote.  Also, give the name of the essay by
Emerson and the collection in which this essay appears.

I am confident that I've found the quote you seek. This is from Ralph
Waldo Emerson's essay "Self-Reliance":

"I read the other day some verses written by an eminent painter which
were original and not conventional. The soul always hears an
admonition in such lines, let the subject be what it may. The
sentiment they instil is of more value than any thought they may
contain. To believe your own thought, to believe that what is true for
you in your private heart is true for all men, that is genius. Speak
your latent conviction, and it shall be the universal sense; for the
inmost in due time becomes the outmost, and our first thought is
rendered back to us by the trumpets of the Last Judgment."

Emerson Central: Self-Reliance
http://www.emersoncentral.com/selfreliance.htm 

"Self-Reliance" may be found on page 132 of "The Essential Writings of
Ralph Waldo Emerson" (Modern Library Classics):

Amazon: The Essential Writings of Ralph Waldo Emerson
http://www.amazon.com/exec/obidos/tg/detail/-/0679783229

The essay is also in these collections:

On page 72 of "Self-Reliance: The Wisdom of Ralph Waldo Emerson as
Inspiration for Daily Living," by RICHARD WHELAN:

Amazon: Self-Reliance: The Wisdom of Ralph Waldo Emerson
http://www.amazon.com/exec/obidos/tg/detail/-/051758512X

On page 19 of "Self-Reliance and Other Essays" (Dover Thrift Editions)
[UNABRIDGED]:

Amazon: Self-Reliance and Other Essays 
http://www.amazon.com/exec/obidos/tg/detail/-/0486277909

My Google search strategy:

Google Web Search: emerson "the innermost OR inmost" "the outermost OR outmost"
://www.google.com/search?hl=en&q=emerson+%22the+innermost+OR+inmost%22+%22the+outermost+OR+outmost%22

I hope this is precisely what you need. If anything is unclear or
incomplete, please request clarification; I'll gladly offer further
assistance before you rate my answer.

Best regards,
pinkfreud

Couldn't believe how fast I got an answer.  It's correct and I cannot tell you
how much I appreciate such accurate and speedy service.

Thank you very much for the five stars and the nice tip!

~pinkfreud

Your welcome.
Is pinkfreud anything like sigmundfreud?  I got my BA and MS in psychology and
psychoanalytic psychology from Columbia Univ. so was just wondering about your
name. 
Joyhana

The 'freud' in my name is indeed a reference to Sigmund. I used to
administer, score, and interpret aptitude tests and personality tests
when I worked for a government agency. Some of my co-workers started
calling me "Doc Freud."

I am female, so the 'pink' helps to feminize the nickname.

Clearly, you're an interesting and complex person.