Return count from not direct related tables
If your dealers are related to the manufacturers and entries are related to the dealers so you have to JOIN three tables, then GROUP resulting table by manufacturers and COUNT() all entries grouped together:

SELECT w.ID AS manufacturer
     , count( q.ID ) AS counter
  FROM manufacturers AS w
  JOIN dealers       AS z ON z.manuf_ID  = w.ID
  JOIN entries       AS q ON q.dealer_ID = z.ID
 GROUP BY w.ID
 ORDER BY w.ID ASC
;