Finding the Third Proportional to 85,896 and 132,732

Step by Step Solution

1. Step 1: Write the proportion equation
   85,896 : 132,732 = 132,732 : x
2. Step 2: Convert to fraction form
   85,896/132,732 = 132,732/x
3. Step 3: Cross multiply
   85,896x = 132,732 × 132,732
4. Step 4: Simplify right side
   85,896x = 17,617,783,824
5. Step 5: Solve for x
   x = 17,617,783,824/85,896
6. Step 6: Final answer
   x = 205,105.99