Finding the Third Proportional to 129,833.75 and 205,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,833.75 : 205,410.50 = 205,410.50 : x
2. Step 2: Convert to fraction form
   129,833.75/205,410.50 = 205,410.50/x
3. Step 3: Cross multiply
   129,833.75x = 205,410.50 × 205,410.50
4. Step 4: Simplify right side
   129,833.75x = 42,193,473,510.25
5. Step 5: Solve for x
   x = 42,193,473,510.25/129,833.75
6. Step 6: Final answer
   x = 324,980.78