Add Fuji apples to a large saucepan and squeeze lemon over top of apples. Stir well. Add 3/4 cup of apple cider, 1/4 cup of sugar, one tablespoon of butter, cinnamon and nutmeg. Bring mixture to boil, then simmer for 10-15 minutes or until apples are softened. Mix 2 tablespoons of corn starch with 1/4 cup apple cider. Then pour into pot and continue to cook until mixture has thickened. Set aside to cool completely. Then refrigerate for at least one hour or until cold.