Finding the Third Proportional to 57,132 and 123,768

Step by Step Solution

1. Step 1: Write the proportion equation
   57,132 : 123,768 = 123,768 : x
2. Step 2: Convert to fraction form
   57,132/123,768 = 123,768/x
3. Step 3: Cross multiply
   57,132x = 123,768 × 123,768
4. Step 4: Simplify right side
   57,132x = 15,318,517,824
5. Step 5: Solve for x
   x = 15,318,517,824/57,132
6. Step 6: Final answer
   x = 268,125.01