Finding the Third Proportional to 57,728 and 123,766

Step by Step Solution

1. Step 1: Write the proportion equation
   57,728 : 123,766 = 123,766 : x
2. Step 2: Convert to fraction form
   57,728/123,766 = 123,766/x
3. Step 3: Cross multiply
   57,728x = 123,766 × 123,766
4. Step 4: Simplify right side
   57,728x = 15,318,022,756
5. Step 5: Solve for x
   x = 15,318,022,756/57,728
6. Step 6: Final answer
   x = 265,348.23