Finding the Third Proportional to 129,106.50 and 185,951.25

Step by Step Solution

1. Step 1: Write the proportion equation
   129,106.50 : 185,951.25 = 185,951.25 : x
2. Step 2: Convert to fraction form
   129,106.50/185,951.25 = 185,951.25/x
3. Step 3: Cross multiply
   129,106.50x = 185,951.25 × 185,951.25
4. Step 4: Simplify right side
   129,106.50x = 34,577,867,376.56
5. Step 5: Solve for x
   x = 34,577,867,376.56/129,106.50
6. Step 6: Final answer
   x = 267,824.37