Finding the Third Proportional to 123,966 and 270,972

Step by Step Solution

1. Step 1: Write the proportion equation
   123,966 : 270,972 = 270,972 : x
2. Step 2: Convert to fraction form
   123,966/270,972 = 270,972/x
3. Step 3: Cross multiply
   123,966x = 270,972 × 270,972
4. Step 4: Simplify right side
   123,966x = 73,425,824,784
5. Step 5: Solve for x
   x = 73,425,824,784/123,966
6. Step 6: Final answer
   x = 592,306.15