Finding the Third Proportional to 517,568 and 823,008

Step by Step Solution

1. Step 1: Write the proportion equation
   517,568 : 823,008 = 823,008 : x
2. Step 2: Convert to fraction form
   517,568/823,008 = 823,008/x
3. Step 3: Cross multiply
   517,568x = 823,008 × 823,008
4. Step 4: Simplify right side
   517,568x = 677,342,168,064
5. Step 5: Solve for x
   x = 677,342,168,064/517,568
6. Step 6: Final answer
   x = 1,308,701.79