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Preheat oven to 350 degrees.
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Generously grease two 8x8 non-stick square pans or one 9x13 pan.
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In a medium bowl, mix together flour, sugar, baking powder, and salt. Set aside.
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In a mixing bowl, pour in egg whites and beat on medium-high speed until stiff peaks are formed.
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In another mixing bowl, pour in egg yolks and beat on medium-high speed until creamy and pale yellow, about 5 minutes. Add vanilla and mix until combined.
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Add egg yolks to egg whites, stirring gently so as to not deflate.
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Add flour mixture to the egg mixture folding in gently so as to not deflate.
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Pour batter into prepared cake pan and cook for 22-25 minutes, or until toothpick comes out clean.
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While the cake is in the oven, mix together the evaporated milk, sweetened condensed milk, half-and-half, and vanilla.
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Remove the cake from the oven and turn out the two pans onto separate trays with a rim. Cut off edges if desired.
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Using a fork, generously poke holes all over in the top of the cakes.
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Pour the three-milk mixture onto the HOT cakes, half on each cake, letting it soak in as you are pouring. Make sure to pour around the edges.
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Cover with plastic wrap and refrigerate for at least two hours or until serve time.