Finding the Third Proportional to 218,966 and 471,704

Step by Step Solution

1. Step 1: Write the proportion equation
   218,966 : 471,704 = 471,704 : x
2. Step 2: Convert to fraction form
   218,966/471,704 = 471,704/x
3. Step 3: Cross multiply
   218,966x = 471,704 × 471,704
4. Step 4: Simplify right side
   218,966x = 222,504,663,616
5. Step 5: Solve for x
   x = 222,504,663,616/218,966
6. Step 6: Final answer
   x = 1,016,160.79