Preheat your oven to 350°F (175°C).
Grease and flour a 9x13 inch baking pan.
In a bowl, mix flour, baking powder, and salt.
In a mixer, beat eggs and sugar until fluffy.
Add vanilla extract and mix well.
Gradually add dry ingredients to the egg mixture.
Pour the batter into the prepared pan and bake for 30 minutes.
Let the cake cool in the pan for 10 minutes, then transfer to a wire rack.
In a bowl, combine evaporated milk, condensed milk, and heavy cream.
Once the cake is cool, poke holes with a fork and pour the milk mixture over it. Let it soak for at least 2 hours.