Indiana Jones and the Temple of Doom is a 1984 American action-adventure film directed by Steven Spielberg. It is the second installment of the Indiana Jones franchise and a prequel to the 1981 film Raiders of the Lost Ark with Harrison Ford reprising his role as the title character. Indiana Jones and the Temple of Doom is the 1984 prequel to In Search of the Lost Ark and chapter twenty-three of The Complete Adventures of Indiana Jones. Indiana Jones and the Temple of Doom isn't even a sequel.
Harrison Ford even appears in one episode (Young Indiana Jones and the Mystery of the Blues) as Indiana Jones. However, does it even matter? Is there a continuity in the Indiana Jones franchise that makes the order of films important? Aside from Indy being like 90 years old in Indiana Jones 4, there's no reason order should matter. Originally released as In Search of the Lost Ark, the first Indiana Jones film was later marketed as Indiana Jones and The Raiders of the Lost Ark. One would think that this television series based on the adventures of a young Indiana Jones would come first chronologically, but the series actually takes place in the 90s, with an elderly Indiana (George Hall) starting each episode recalling an adventure from his youth.
Since this appears all the time as a TIL, it's clear that people don't realize the fact that the events of Indiana Jones 2 take place before Indiana Jones 1.