Finding the Third Proportional to 217,842 and 471,870

Step by Step Solution

1. Step 1: Write the proportion equation
   217,842 : 471,870 = 471,870 : x
2. Step 2: Convert to fraction form
   217,842/471,870 = 471,870/x
3. Step 3: Cross multiply
   217,842x = 471,870 × 471,870
4. Step 4: Simplify right side
   217,842x = 222,661,296,900
5. Step 5: Solve for x
   x = 222,661,296,900/217,842
6. Step 6: Final answer
   x = 1,022,122.90