Finding the Third Proportional to 85,810 and 132,868

Step by Step Solution

1. Step 1: Write the proportion equation
   85,810 : 132,868 = 132,868 : x
2. Step 2: Convert to fraction form
   85,810/132,868 = 132,868/x
3. Step 3: Cross multiply
   85,810x = 132,868 × 132,868
4. Step 4: Simplify right side
   85,810x = 17,653,905,424
5. Step 5: Solve for x
   x = 17,653,905,424/85,810
6. Step 6: Final answer
   x = 205,732.50