Finding the Third Proportional to 309,640.50 and 478,551

Step by Step Solution

1. Step 1: Write the proportion equation
   309,640.50 : 478,551 = 478,551 : x
2. Step 2: Convert to fraction form
   309,640.50/478,551 = 478,551/x
3. Step 3: Cross multiply
   309,640.50x = 478,551 × 478,551
4. Step 4: Simplify right side
   309,640.50x = 229,011,059,601
5. Step 5: Solve for x
   x = 229,011,059,601/309,640.50
6. Step 6: Final answer
   x = 739,603.05