Finding the Third Proportional to 82,156 and 117,398

Step by Step Solution

1. Step 1: Write the proportion equation
   82,156 : 117,398 = 117,398 : x
2. Step 2: Convert to fraction form
   82,156/117,398 = 117,398/x
3. Step 3: Cross multiply
   82,156x = 117,398 × 117,398
4. Step 4: Simplify right side
   82,156x = 13,782,290,404
5. Step 5: Solve for x
   x = 13,782,290,404/82,156
6. Step 6: Final answer
   x = 167,757.56