Finding the Third Proportional to 422,814 and 654,816

Step by Step Solution

1. Step 1: Write the proportion equation
   422,814 : 654,816 = 654,816 : x
2. Step 2: Convert to fraction form
   422,814/654,816 = 654,816/x
3. Step 3: Cross multiply
   422,814x = 654,816 × 654,816
4. Step 4: Simplify right side
   422,814x = 428,783,993,856
5. Step 5: Solve for x
   x = 428,783,993,856/422,814
6. Step 6: Final answer
   x = 1,014,119.67