Finding the Third Proportional to 321,456.09 and 687,196.41

Step by Step Solution

1. Step 1: Write the proportion equation
   321,456.09 : 687,196.41 = 687,196.41 : x
2. Step 2: Convert to fraction form
   321,456.09/687,196.41 = 687,196.41/x
3. Step 3: Cross multiply
   321,456.09x = 687,196.41 × 687,196.41
4. Step 4: Simplify right side
   321,456.09x = 472,238,900,762.92
5. Step 5: Solve for x
   x = 472,238,900,762.92/321,456.09
6. Step 6: Final answer
   x = 1,469,061.90