In medium-size saucepan, combine sugar, cornstarch and salt.
In small bowl, blend together egg yolks and milk.
Stir small amount
of milk mixture into dry ingredients, making a smooth paste.
Gradually
blend in remaining milk mixture. Cook over medium heat, stirring
constantly, until mixture thickens and boils. Boil, stirring constantly,
1 minute. Remove from heat.
Stir in vanilla extract.
Cool quickly
by setting pan in bowl of ice water and stirring.
Set aside about 1/4 cup strawberry slices for garnish.
Arrange remaining
strawberry slices in pie shell.
Peel and slice bananas.
Pour half
of the custard mixture over strawberries.
Top with banana slices.
Cover with remaining custard mixture.
Cover and refrigerate until
thoroughly chilled.
Before serving, top pie with reserved strawberry slices.
Garnish
with a dollop of whipped cream, if desired.