Finding the Third Proportional to 85,469 and 132,683

Step by Step Solution

1. Step 1: Write the proportion equation
   85,469 : 132,683 = 132,683 : x
2. Step 2: Convert to fraction form
   85,469/132,683 = 132,683/x
3. Step 3: Cross multiply
   85,469x = 132,683 × 132,683
4. Step 4: Simplify right side
   85,469x = 17,604,778,489
5. Step 5: Solve for x
   x = 17,604,778,489/85,469
6. Step 6: Final answer
   x = 205,978.52