Finding the Third Proportional to 85,540 and 115,188

Step by Step Solution

1. Step 1: Write the proportion equation
   85,540 : 115,188 = 115,188 : x
2. Step 2: Convert to fraction form
   85,540/115,188 = 115,188/x
3. Step 3: Cross multiply
   85,540x = 115,188 × 115,188
4. Step 4: Simplify right side
   85,540x = 13,268,275,344
5. Step 5: Solve for x
   x = 13,268,275,344/85,540
6. Step 6: Final answer
   x = 155,111.94