Finding the Third Proportional to 564,012 and 863,856

Step by Step Solution

1. Step 1: Write the proportion equation
   564,012 : 863,856 = 863,856 : x
2. Step 2: Convert to fraction form
   564,012/863,856 = 863,856/x
3. Step 3: Cross multiply
   564,012x = 863,856 × 863,856
4. Step 4: Simplify right side
   564,012x = 746,247,188,736
5. Step 5: Solve for x
   x = 746,247,188,736/564,012
6. Step 6: Final answer
   x = 1,323,105.16