Finding the Third Proportional to 129,699.50 and 284,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,699.50 : 284,002.50 = 284,002.50 : x
2. Step 2: Convert to fraction form
   129,699.50/284,002.50 = 284,002.50/x
3. Step 3: Cross multiply
   129,699.50x = 284,002.50 × 284,002.50
4. Step 4: Simplify right side
   129,699.50x = 80,657,420,006.25
5. Step 5: Solve for x
   x = 80,657,420,006.25/129,699.50
6. Step 6: Final answer
   x = 621,879.19