Finding the Third Proportional to 309,712.50 and 478,650

Step by Step Solution

1. Step 1: Write the proportion equation
   309,712.50 : 478,650 = 478,650 : x
2. Step 2: Convert to fraction form
   309,712.50/478,650 = 478,650/x
3. Step 3: Cross multiply
   309,712.50x = 478,650 × 478,650
4. Step 4: Simplify right side
   309,712.50x = 229,105,822,500
5. Step 5: Solve for x
   x = 229,105,822,500/309,712.50
6. Step 6: Final answer
   x = 739,737.09