Finding the Third Proportional to 82,418 and 117,747

Step by Step Solution

1. Step 1: Write the proportion equation
   82,418 : 117,747 = 117,747 : x
2. Step 2: Convert to fraction form
   82,418/117,747 = 117,747/x
3. Step 3: Cross multiply
   82,418x = 117,747 × 117,747
4. Step 4: Simplify right side
   82,418x = 13,864,356,009
5. Step 5: Solve for x
   x = 13,864,356,009/82,418
6. Step 6: Final answer
   x = 168,220.00