Finding the Third Proportional to 123,912 and 270,864

Step by Step Solution

1. Step 1: Write the proportion equation
   123,912 : 270,864 = 270,864 : x
2. Step 2: Convert to fraction form
   123,912/270,864 = 270,864/x
3. Step 3: Cross multiply
   123,912x = 270,864 × 270,864
4. Step 4: Simplify right side
   123,912x = 73,367,306,496
5. Step 5: Solve for x
   x = 73,367,306,496/123,912
6. Step 6: Final answer
   x = 592,092.02