Preheat oven to 350°F (175°C). Grease and flour a 9x13 inch baking dish.
In a large bowl, whisk together flour, baking powder, and salt. Set aside.
In another bowl, beat egg yolks with ¾ cup sugar until pale yellow. Stir in milk and vanilla.
Gently fold egg yolk mixture into flour mixture until combined.
In a separate bowl, beat egg whites until soft peaks form. Gradually add remaining ¼ cup sugar and beat until stiff peaks form.
Gently fold egg whites into batter. Pour batter into prepared baking dish.
Bake for 30 minutes or until a toothpick inserted into the center comes out clean. Let cool.
In a small bowl, whisk together evaporated milk, sweetened condensed milk, and whole milk. Pour over cooled cake.
Refrigerate for at least 4 hours or overnight before serving.