The coordinates are 45 degree 55.249 N Latitude and 110 degree 26.394 W Longitude?

Hello.

You'd be in Montana.

I assume that when you say "45 degree  N Latitude and 110 degree
26.394 W Longitude," you mean 45 degrees 55.249 minutes N and 110
degrees 26.394 minutes W, which is the equivalent of 45.92081 N
110.4399 W
http://www.mapquest.com/maps/map.adp?searchtype=address&formtype=address&latlongtype=decimal&latitude=45.92081&longitude=-110.4399

On the chance that you actually meant 45.55249 N & 110.23639 W, that
location is also in Montana:
http://www.mapquest.com/maps/map.adp?searchtype=address&formtype=address&latlongtype=decimal&latitude=45.55249&longitude=-110.23639

search strategy:
55.249 minutes in degrees
26.395 minutes in degrees
mapquest longitude latitude

I hope this helps.