Finding the Third Proportional to 309,634.50 and 478,542

Step by Step Solution

1. Step 1: Write the proportion equation
   309,634.50 : 478,542 = 478,542 : x
2. Step 2: Convert to fraction form
   309,634.50/478,542 = 478,542/x
3. Step 3: Cross multiply
   309,634.50x = 478,542 × 478,542
4. Step 4: Simplify right side
   309,634.50x = 229,002,445,764
5. Step 5: Solve for x
   x = 229,002,445,764/309,634.50
6. Step 6: Final answer
   x = 739,589.57