From the look of things, a lot of people have the same issue I am having on my Camry. I'm the second owner of this car and have had starting issues with it since purchased.

The ignition doesn't make any noise and the car won't start. It usually starts after I turn the inginition on, place the automatic transmission in nuetral, and then turn the key to start. I believe my problem is with the nuetral safety switch, but how can I be sure and where is it located? I currently do not have a manual but am looking for one. I also was trying to find an electrical schematic online but have been unsuccessful.

The switch is on the side of the transaxle, concentric with the shift selector shaft. It may be out of adjustment, but, from your description, it sounds to be worn out.

Get a Haynes or Chilton repair manual for your MY. Adjustment and replacement info is in there.