Finding the Third Proportional to 217,842 and 471,872

Step by Step Solution

1. Step 1: Write the proportion equation
   217,842 : 471,872 = 471,872 : x
2. Step 2: Convert to fraction form
   217,842/471,872 = 471,872/x
3. Step 3: Cross multiply
   217,842x = 471,872 × 471,872
4. Step 4: Simplify right side
   217,842x = 222,663,184,384
5. Step 5: Solve for x
   x = 222,663,184,384/217,842
6. Step 6: Final answer
   x = 1,022,131.57