With the Atlantic Ocean to the east and Florida’s Intracoastal Waterway to the west, Mar-a-Lago sits on the Palm Beach barrier island, a 128-room, 62,500-square-foot symbol of opulence and power. The Trump family business doubled the initiation fee to $200,000 after the president was elected in 2016. He spends many weekends between November and April there, mingling with the club’s 500 members, who pay $14,000 in annual dues to belong.