Finding the Third Proportional to 83,466 and 132,696

Step by Step Solution

1. Step 1: Write the proportion equation
   83,466 : 132,696 = 132,696 : x
2. Step 2: Convert to fraction form
   83,466/132,696 = 132,696/x
3. Step 3: Cross multiply
   83,466x = 132,696 × 132,696
4. Step 4: Simplify right side
   83,466x = 17,608,228,416
5. Step 5: Solve for x
   x = 17,608,228,416/83,466
6. Step 6: Final answer
   x = 210,962.89