Finding the Third Proportional to 309,264.38 and 478,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,264.38 : 478,861.50 = 478,861.50 : x
2. Step 2: Convert to fraction form
   309,264.38/478,861.50 = 478,861.50/x
3. Step 3: Cross multiply
   309,264.38x = 478,861.50 × 478,861.50
4. Step 4: Simplify right side
   309,264.38x = 229,308,336,182.25
5. Step 5: Solve for x
   x = 229,308,336,182.25/309,264.38
6. Step 6: Final answer
   x = 741,463.79