My 92 Honda Accord Lx starts fine when it is cold, but when it is hot it will not start.

It's likely your main relay needs to be replaced. There are many threads on this subject. See:

http://www.tegger.com/hondafaq/mainrelayoperation/index.html

That is a perfect symptom of a failed atmospheric pressure sensor. Its under the dash on the drivers side. Its cheap.no mechanics seem to know anything about it. I figured it out through massive reseach. Good luck