Finding the Third Proportional to 83,438 and 132,661

Step by Step Solution

1. Step 1: Write the proportion equation
   83,438 : 132,661 = 132,661 : x
2. Step 2: Convert to fraction form
   83,438/132,661 = 132,661/x
3. Step 3: Cross multiply
   83,438x = 132,661 × 132,661
4. Step 4: Simplify right side
   83,438x = 17,598,940,921
5. Step 5: Solve for x
   x = 17,598,940,921/83,438
6. Step 6: Final answer
   x = 210,922.37