Finding the Third Proportional to 125,509.50 and 188,538

Step by Step Solution

1. Step 1: Write the proportion equation
   125,509.50 : 188,538 = 188,538 : x
2. Step 2: Convert to fraction form
   125,509.50/188,538 = 188,538/x
3. Step 3: Cross multiply
   125,509.50x = 188,538 × 188,538
4. Step 4: Simplify right side
   125,509.50x = 35,546,577,444
5. Step 5: Solve for x
   x = 35,546,577,444/125,509.50
6. Step 6: Final answer
   x = 283,218.22