Finding the Third Proportional to 56,724 and 123,764

Step by Step Solution

1. Step 1: Write the proportion equation
   56,724 : 123,764 = 123,764 : x
2. Step 2: Convert to fraction form
   56,724/123,764 = 123,764/x
3. Step 3: Cross multiply
   56,724x = 123,764 × 123,764
4. Step 4: Simplify right side
   56,724x = 15,317,527,696
5. Step 5: Solve for x
   x = 15,317,527,696/56,724
6. Step 6: Final answer
   x = 270,036.10