Finding the Third Proportional to 218,872 and 471,204

Step by Step Solution

1. Step 1: Write the proportion equation
   218,872 : 471,204 = 471,204 : x
2. Step 2: Convert to fraction form
   218,872/471,204 = 471,204/x
3. Step 3: Cross multiply
   218,872x = 471,204 × 471,204
4. Step 4: Simplify right side
   218,872x = 222,033,209,616
5. Step 5: Solve for x
   x = 222,033,209,616/218,872
6. Step 6: Final answer
   x = 1,014,443.19