Finding the Third Proportional to 323,639 and 502,499

Step by Step Solution

1. Step 1: Write the proportion equation
   323,639 : 502,499 = 502,499 : x
2. Step 2: Convert to fraction form
   323,639/502,499 = 502,499/x
3. Step 3: Cross multiply
   323,639x = 502,499 × 502,499
4. Step 4: Simplify right side
   323,639x = 252,505,245,001
5. Step 5: Solve for x
   x = 252,505,245,001/323,639
6. Step 6: Final answer
   x = 780,206.48