Finding the Third Proportional to 86,208 and 132,960

Step by Step Solution

1. Step 1: Write the proportion equation
   86,208 : 132,960 = 132,960 : x
2. Step 2: Convert to fraction form
   86,208/132,960 = 132,960/x
3. Step 3: Cross multiply
   86,208x = 132,960 × 132,960
4. Step 4: Simplify right side
   86,208x = 17,678,361,600
5. Step 5: Solve for x
   x = 17,678,361,600/86,208
6. Step 6: Final answer
   x = 205,066.37