mySQL：3つのテーブルを結合する-どのように？

SELECT `manufacturers`.*, `languages`.*, COUNT(`products`.`id`) AS NumberOfProducts
FROM (`manufacturers`)
JOIN `languages` ON `manufacturers`.`lang` = `languages`.`id`
LEFT OUTER JOIN `products` ON 
      `products`.`manufacturerid` =  `manufacturers`.`manufacturerid`
GROUP BY <Column list for manufacturers AND languages here>
ORDER BY `languages`.`id` asc, `manufacturers`.`id` asc