Finding the Third Proportional to 495,666 and 787,785.75

Step by Step Solution

1. Step 1: Write the proportion equation
   495,666 : 787,785.75 = 787,785.75 : x
2. Step 2: Convert to fraction form
   495,666/787,785.75 = 787,785.75/x
3. Step 3: Cross multiply
   495,666x = 787,785.75 × 787,785.75
4. Step 4: Simplify right side
   495,666x = 620,606,387,903.06
5. Step 5: Solve for x
   x = 620,606,387,903.06/495,666
6. Step 6: Final answer
   x = 1,252,065.68