Finding the Third Proportional to 125,355 and 188,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,355 : 188,059.50 = 188,059.50 : x
2. Step 2: Convert to fraction form
   125,355/188,059.50 = 188,059.50/x
3. Step 3: Cross multiply
   125,355x = 188,059.50 × 188,059.50
4. Step 4: Simplify right side
   125,355x = 35,366,375,540.25
5. Step 5: Solve for x
   x = 35,366,375,540.25/125,355
6. Step 6: Final answer
   x = 282,129.76