Finding the Third Proportional to 82,444 and 116,466

Step by Step Solution

1. Step 1: Write the proportion equation
   82,444 : 116,466 = 116,466 : x
2. Step 2: Convert to fraction form
   82,444/116,466 = 116,466/x
3. Step 3: Cross multiply
   82,444x = 116,466 × 116,466
4. Step 4: Simplify right side
   82,444x = 13,564,329,156
5. Step 5: Solve for x
   x = 13,564,329,156/82,444
6. Step 6: Final answer
   x = 164,527.79