Finding the Third Proportional to 57,696 and 123,744

Step by Step Solution

1. Step 1: Write the proportion equation
   57,696 : 123,744 = 123,744 : x
2. Step 2: Convert to fraction form
   57,696/123,744 = 123,744/x
3. Step 3: Cross multiply
   57,696x = 123,744 × 123,744
4. Step 4: Simplify right side
   57,696x = 15,312,577,536
5. Step 5: Solve for x
   x = 15,312,577,536/57,696
6. Step 6: Final answer
   x = 265,401.02