Finding the Third Proportional to 125,166 and 260,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,166 : 260,686.50 = 260,686.50 : x
2. Step 2: Convert to fraction form
   125,166/260,686.50 = 260,686.50/x
3. Step 3: Cross multiply
   125,166x = 260,686.50 × 260,686.50
4. Step 4: Simplify right side
   125,166x = 67,957,451,282.25
5. Step 5: Solve for x
   x = 67,957,451,282.25/125,166
6. Step 6: Final answer
   x = 542,938.59