Finding the Third Proportional to 85,872 and 132,912

Step by Step Solution

1. Step 1: Write the proportion equation
   85,872 : 132,912 = 132,912 : x
2. Step 2: Convert to fraction form
   85,872/132,912 = 132,912/x
3. Step 3: Cross multiply
   85,872x = 132,912 × 132,912
4. Step 4: Simplify right side
   85,872x = 17,665,599,744
5. Step 5: Solve for x
   x = 17,665,599,744/85,872
6. Step 6: Final answer
   x = 205,720.14