Finding the Third Proportional to 324,708 and 509,499

Step by Step Solution

1. Step 1: Write the proportion equation
   324,708 : 509,499 = 509,499 : x
2. Step 2: Convert to fraction form
   324,708/509,499 = 509,499/x
3. Step 3: Cross multiply
   324,708x = 509,499 × 509,499
4. Step 4: Simplify right side
   324,708x = 259,589,231,001
5. Step 5: Solve for x
   x = 259,589,231,001/324,708
6. Step 6: Final answer
   x = 799,454.37