Finding the Third Proportional to 89,688 and 126,744

Step by Step Solution

1. Step 1: Write the proportion equation
   89,688 : 126,744 = 126,744 : x
2. Step 2: Convert to fraction form
   89,688/126,744 = 126,744/x
3. Step 3: Cross multiply
   89,688x = 126,744 × 126,744
4. Step 4: Simplify right side
   89,688x = 16,064,041,536
5. Step 5: Solve for x
   x = 16,064,041,536/89,688
6. Step 6: Final answer
   x = 179,110.27