Finding the Third Proportional to 85,974 and 132,849

Step by Step Solution

1. Step 1: Write the proportion equation
   85,974 : 132,849 = 132,849 : x
2. Step 2: Convert to fraction form
   85,974/132,849 = 132,849/x
3. Step 3: Cross multiply
   85,974x = 132,849 × 132,849
4. Step 4: Simplify right side
   85,974x = 17,648,856,801
5. Step 5: Solve for x
   x = 17,648,856,801/85,974
6. Step 6: Final answer
   x = 205,281.33