Finding the Third Proportional to 354,864 and 510,098

Step by Step Solution

1. Step 1: Write the proportion equation
   354,864 : 510,098 = 510,098 : x
2. Step 2: Convert to fraction form
   354,864/510,098 = 510,098/x
3. Step 3: Cross multiply
   354,864x = 510,098 × 510,098
4. Step 4: Simplify right side
   354,864x = 260,199,969,604
5. Step 5: Solve for x
   x = 260,199,969,604/354,864
6. Step 6: Final answer
   x = 733,238.56