Finding the Third Proportional to 85,466 and 132,680

Step by Step Solution

1. Step 1: Write the proportion equation
   85,466 : 132,680 = 132,680 : x
2. Step 2: Convert to fraction form
   85,466/132,680 = 132,680/x
3. Step 3: Cross multiply
   85,466x = 132,680 × 132,680
4. Step 4: Simplify right side
   85,466x = 17,603,982,400
5. Step 5: Solve for x
   x = 17,603,982,400/85,466
6. Step 6: Final answer
   x = 205,976.44