Finding the Third Proportional to 129,091.50 and 185,928.75

Step by Step Solution

1. Step 1: Write the proportion equation
   129,091.50 : 185,928.75 = 185,928.75 : x
2. Step 2: Convert to fraction form
   129,091.50/185,928.75 = 185,928.75/x
3. Step 3: Cross multiply
   129,091.50x = 185,928.75 × 185,928.75
4. Step 4: Simplify right side
   129,091.50x = 34,569,500,076.56
5. Step 5: Solve for x
   x = 34,569,500,076.56/129,091.50
6. Step 6: Final answer
   x = 267,790.68