In a medium saucepan, combine the sugar, corn syrup, and water. Cook over medium heat, stirring until the sugar dissolves. Clip a candy thermometer to the side of the pan.
Continue to cook, without stirring, until the syrup reaches 250°F (soft-ball stage).
While the syrup is cooking, in a separate, clean bowl, beat the egg whites and salt until stiff, glossy peaks form.
Once the syrup reaches 250°F, remove it from the heat. Slowly drizzle the hot syrup into the beaten egg whites, beating constantly with an electric mixer. Be careful to avoid splashing.
Continue to beat until the mixture thickens and loses its shine, about 5-7 minutes. It should be thick enough to hold its shape.
Stir in the vanilla extract and nuts.
Drop spoonfuls of the mixture onto parchment paper or wax paper. Let them cool completely before serving.
Notes
Store divinity in an airtight container at room temperature.