Finding the Third Proportional to 85,960 and 132,824

Step by Step Solution

1. Step 1: Write the proportion equation
   85,960 : 132,824 = 132,824 : x
2. Step 2: Convert to fraction form
   85,960/132,824 = 132,824/x
3. Step 3: Cross multiply
   85,960x = 132,824 × 132,824
4. Step 4: Simplify right side
   85,960x = 17,642,214,976
5. Step 5: Solve for x
   x = 17,642,214,976/85,960
6. Step 6: Final answer
   x = 205,237.49