In the Nuka World dlc, you can find an arcade in the first area of the park. Here you can spend your tickets that you win from the games there. You will need to redeem 100,000 of those tickets to earn this trophy. The best way to earn tickets is to play Bandit Roundup using tokens that you find around the park, buy in the token machines, or purchase from the arcade owner. Use an explosive weapon or the Thirst Zapper you found in the beginning. With an explosive weapon you can just aim toward the center and fire to hit all the targets. While with the Thirst Zapper you can just spam it at the targets. This will net you between 500 and 1000 tickets each time, so this will take a few hours.
Note:The Demolition's Expert perk will help increase the radius of your explosive weapons. The video below will give you a general idea of what this will look like.