Finding the Third Proportional to 125,016 and 187,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,016 : 187,537.50 = 187,537.50 : x
2. Step 2: Convert to fraction form
   125,016/187,537.50 = 187,537.50/x
3. Step 3: Cross multiply
   125,016x = 187,537.50 × 187,537.50
4. Step 4: Simplify right side
   125,016x = 35,170,313,906.25
5. Step 5: Solve for x
   x = 35,170,313,906.25/125,016
6. Step 6: Final answer
   x = 281,326.50