Finding the Third Proportional to 82,418 and 116,427

Step by Step Solution

1. Step 1: Write the proportion equation
   82,418 : 116,427 = 116,427 : x
2. Step 2: Convert to fraction form
   82,418/116,427 = 116,427/x
3. Step 3: Cross multiply
   82,418x = 116,427 × 116,427
4. Step 4: Simplify right side
   82,418x = 13,555,246,329
5. Step 5: Solve for x
   x = 13,555,246,329/82,418
6. Step 6: Final answer
   x = 164,469.49