Finding the Third Proportional to 218,646 and 471,744

Step by Step Solution

1. Step 1: Write the proportion equation
   218,646 : 471,744 = 471,744 : x
2. Step 2: Convert to fraction form
   218,646/471,744 = 471,744/x
3. Step 3: Cross multiply
   218,646x = 471,744 × 471,744
4. Step 4: Simplify right side
   218,646x = 222,542,401,536
5. Step 5: Solve for x
   x = 222,542,401,536/218,646
6. Step 6: Final answer
   x = 1,017,820.59