Finding the Third Proportional to 127,016 and 260,568

Step by Step Solution

1. Step 1: Write the proportion equation
   127,016 : 260,568 = 260,568 : x
2. Step 2: Convert to fraction form
   127,016/260,568 = 260,568/x
3. Step 3: Cross multiply
   127,016x = 260,568 × 260,568
4. Step 4: Simplify right side
   127,016x = 67,895,682,624
5. Step 5: Solve for x
   x = 67,895,682,624/127,016
6. Step 6: Final answer
   x = 534,544.33