3 black and white wires at light
Things are different here.  In that other box from the other post, there were 3 cables:  


Always-hot (black) and neutral (white) from supply
Always-hot (black) and neutral (white) onward to other points of use
Always-hot (white marked with black tape*) and switched-hot (black**) from light switch


Your situation has these 3 cables (note one of them is changed): 


Always-hot (black) and neutral (white) from supply
Always-hot (white marked with black tape*) and switched-hot (black**) from light switch
Switched-hot (black**) and neutral (white) onward to the other lights


You simply need to group all always-hots (certain blacks and remarked whites),  all neutrals (unmarked whites), and switched-hots (those ones I recommend you mark red). 

Marking things with tape to indicate their function makes things vastly easier, the next time you're inside that box.  





* Use of the white wire, and this marking, is mandatory.
** Use of red tape to mark these wires is strongly recommended by me. This indicates their function -- switched-hot.  If you don't want to do that, that's fine,  but don't complain when you're confused :)  

My recommended color code for wires is: 


Black -- always-hot 
White -- neutral (mandatory)
Red -- switched-hot #1  (this is a general convention)
Blue -- switched-hot #2 (ditto)
Two Yellow -- 3-way travelers  (this is a Harper special :)