Finding the Third Proportional to 321,662 and 687,498

Step by Step Solution

1. Step 1: Write the proportion equation
   321,662 : 687,498 = 687,498 : x
2. Step 2: Convert to fraction form
   321,662/687,498 = 687,498/x
3. Step 3: Cross multiply
   321,662x = 687,498 × 687,498
4. Step 4: Simplify right side
   321,662x = 472,653,500,004
5. Step 5: Solve for x
   x = 472,653,500,004/321,662
6. Step 6: Final answer
   x = 1,469,410.44