Finding the Third Proportional to 359,229.50 and 563,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,229.50 : 563,522.50 = 563,522.50 : x
2. Step 2: Convert to fraction form
   359,229.50/563,522.50 = 563,522.50/x
3. Step 3: Cross multiply
   359,229.50x = 563,522.50 × 563,522.50
4. Step 4: Simplify right side
   359,229.50x = 317,557,608,006.25
5. Step 5: Solve for x
   x = 317,557,608,006.25/359,229.50
6. Step 6: Final answer
   x = 883,996.46