Finding the Third Proportional to 82,707 and 108,144

Step by Step Solution

1. Step 1: Write the proportion equation
   82,707 : 108,144 = 108,144 : x
2. Step 2: Convert to fraction form
   82,707/108,144 = 108,144/x
3. Step 3: Cross multiply
   82,707x = 108,144 × 108,144
4. Step 4: Simplify right side
   82,707x = 11,695,124,736
5. Step 5: Solve for x
   x = 11,695,124,736/82,707
6. Step 6: Final answer
   x = 141,404.29