Finding the Third Proportional to 85,727.25 and 188,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,727.25 : 188,059.50 = 188,059.50 : x
2. Step 2: Convert to fraction form
   85,727.25/188,059.50 = 188,059.50/x
3. Step 3: Cross multiply
   85,727.25x = 188,059.50 × 188,059.50
4. Step 4: Simplify right side
   85,727.25x = 35,366,375,540.25
5. Step 5: Solve for x
   x = 35,366,375,540.25/85,727.25
6. Step 6: Final answer
   x = 412,545.32