Finding the Third Proportional to 296,914 and 647,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,914 : 647,417.50 = 647,417.50 : x
2. Step 2: Convert to fraction form
   296,914/647,417.50 = 647,417.50/x
3. Step 3: Cross multiply
   296,914x = 647,417.50 × 647,417.50
4. Step 4: Simplify right side
   296,914x = 419,149,419,306.25
5. Step 5: Solve for x
   x = 419,149,419,306.25/296,914
6. Step 6: Final answer
   x = 1,411,686.28