Final answer:
During the Third Crusade, the Franks controlled Antioch, which was one of the Crusader States established after the First Crusade; Jerusalem, by that time, had been recaptured by Muslims.
Step-by-step explanation:
At the start of the Third Crusade, the Franks, also known as the Latins or crusaders, controlled several lands in the Holy Land, but the specific land they controlled that is mentioned as an option in the question was Antioch. Antioch had been conquered during the First Crusade and was one of the principal Crusader States, known as the Principality of Antioch.
This was after the crusading armies had captured Jerusalem in 1099 and massacred the Muslim and Jewish inhabitants, an event that led to the establishment of the four Crusader States with Jerusalem as the capital, forming what was known as Outremer. However, it is essential to note that by the time of the Third Crusade, Jerusalem had once again fallen into Muslim hands, specifically under the rule of Saladin after the Battle of Hattin in 1187, which acted as the catalyst for the launch of the Third Crusade in an attempt to recapture Jerusalem.