There wasn't a 92 Mark Vlll they started in 93 so the 93 thermostat is on the drivers side under the hood of course, follow the top radiator hose to where you see it join together (2 bolts) and that is where the thermostat is housed, pain to get at but take your time.
In the thermostat housing
On he firewall just behind the engine.
Drivers side under the hood look to the right and down from the radiator and you will see a journal, where the hoses meet, in that journal is the thermostat
This link has detailed instructions and photos http:/www.lincolnvscadillac.com/tech/lincoln-mark-viii/Thermostat-Replacement/index.htm
Bad thermostat?
Facing the front of the car with the hood open, on the drivers side follow the radiator hose down till you come to a junction where you see two bolts, that is where the thermostat is.
Not a good idea
front right side of the engine, underneath the power steering resivoir in the the housing unit that is connected to the radiator hoses, cant miss it.
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no, i believe the 1992 crown vic uses a AODE transmission, while the Lincoln mark viii uses a 4r70w.
Lincoln did not offer a Mark VII in 1993.. Lincoln stopped production in 1992. Then started the Mark VIII in 1993