Not exactly, this:
Table: BusinessName
Customer_id (FK)
Business_id (PK)
Table: Customer
Customer_id(PK)
where
Table: BusinessName
Business_id AS integer primarykey, unique, autoinc
Customer_id AS integer
Table: Customer
Customer_id AS integer primarykey, unique, autoinc
Then is enough to join the Customer_id:
SELECT B.Customer_ID, C.Customer_ID
FROM BusinessName B, Customer C
WHERE B.Customer_ID=C.Customer_ID
AND B.Customer_id=$myid