Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_78240 ( "Institution" text, "City" text, "State" text, "Nickname" text, "Joined" real, "Conference championships" real )

### Question ###
What is the latest year joined with a Conference championships of 5, and an Institution of university of north carolina?

### Accurate SQL ###

SELECT MAX("Joined") FROM table_78240 WHERE "Conference championships" = '5' AND "Institution" = 'university of north carolina'