Finding the Third Proportional to 81,540 and 114,826.13

Step by Step Solution

1. Step 1: Write the proportion equation
   81,540 : 114,826.13 = 114,826.13 : x
2. Step 2: Convert to fraction form
   81,540/114,826.13 = 114,826.13/x
3. Step 3: Cross multiply
   81,540x = 114,826.13 × 114,826.13
4. Step 4: Simplify right side
   81,540x = 13,185,038,982.52
5. Step 5: Solve for x
   x = 13,185,038,982.52/81,540
6. Step 6: Final answer
   x = 161,700.26