where is this theatre located?
In the Theater District and Lincoln Center along Broadway, in Midtown Manhattan, New York City.
Broadway theatre
 located in the Theater District and Lincoln Center along Broadway, in Midtown Manhattan, New York City. 
where did the movie south pacific take place At Broadway theatre
wiki:24541525
Broadway theatre [SEP] Introduction
Broadway theatre, also known simply as Broadway, refers to the theatrical performances presented in the 41 professional theatres, each with 500 or more seats, located in the Theater District and Lincoln Center along Broadway, in Midtown Manhattan, New York City. Broadway and London's West End together represent the highest commercial level of live theater in the English-speaking world. While the thoroughfare itself is eponymous with the district and its collection of 41 theaters, and is closely identified with Times Square, only three of the theaters are located on Broadway itself (being the Broadway Theatre, the Palace Theatre, and the Winter Garden Theatre).