If the vehicle will not crank over, the most common problem is the starter, which tend to fail at about 100,00-125,000 miles. Sometimes it is only the starter solenoid contacts, but often the complete starter (including solenoid) needs to be replaced.
Car Problem Reports
Toyota Camry Vehicle Won't Crank Due To Starter
Toyota Camry Problem
Average Mileage: 201,466 mi (83,400 mi - 340,000 mi)
Visitor, 1995 Toyota Camry, 340,000 mi
The car needed a new starter
Car would not start when ignition key in start position. Just several clicking sounds and after several
tries the engine would start. The frequency of the clicking sounds varied. Suspected bad starter.
Car towed to Checkered Flag Toyota and they confirmed bad starter and replaced it for a total of
$150 for starter and $105.95 labor