Finding the Third Proportional to 125,899.50 and 257,616

Step by Step Solution

1. Step 1: Write the proportion equation
   125,899.50 : 257,616 = 257,616 : x
2. Step 2: Convert to fraction form
   125,899.50/257,616 = 257,616/x
3. Step 3: Cross multiply
   125,899.50x = 257,616 × 257,616
4. Step 4: Simplify right side
   125,899.50x = 66,366,003,456
5. Step 5: Solve for x
   x = 66,366,003,456/125,899.50
6. Step 6: Final answer
   x = 527,134.77