Finding the Third Proportional to 262,016 and 560,864

Step by Step Solution

1. Step 1: Write the proportion equation
   262,016 : 560,864 = 560,864 : x
2. Step 2: Convert to fraction form
   262,016/560,864 = 560,864/x
3. Step 3: Cross multiply
   262,016x = 560,864 × 560,864
4. Step 4: Simplify right side
   262,016x = 314,568,426,496
5. Step 5: Solve for x
   x = 314,568,426,496/262,016
6. Step 6: Final answer
   x = 1,200,569.53