Finding the Third Proportional to 86,540 and 131,434

Step by Step Solution

1. Step 1: Write the proportion equation
   86,540 : 131,434 = 131,434 : x
2. Step 2: Convert to fraction form
   86,540/131,434 = 131,434/x
3. Step 3: Cross multiply
   86,540x = 131,434 × 131,434
4. Step 4: Simplify right side
   86,540x = 17,274,896,356
5. Step 5: Solve for x
   x = 17,274,896,356/86,540
6. Step 6: Final answer
   x = 199,617.48