Finding the Third Proportional to 123,648 and 186,048

Step by Step Solution

1. Step 1: Write the proportion equation
   123,648 : 186,048 = 186,048 : x
2. Step 2: Convert to fraction form
   123,648/186,048 = 186,048/x
3. Step 3: Cross multiply
   123,648x = 186,048 × 186,048
4. Step 4: Simplify right side
   123,648x = 34,613,858,304
5. Step 5: Solve for x
   x = 34,613,858,304/123,648
6. Step 6: Final answer
   x = 279,938.68