Finding the Third Proportional to 217,834 and 471,856

Step by Step Solution

1. Step 1: Write the proportion equation
   217,834 : 471,856 = 471,856 : x
2. Step 2: Convert to fraction form
   217,834/471,856 = 471,856/x
3. Step 3: Cross multiply
   217,834x = 471,856 × 471,856
4. Step 4: Simplify right side
   217,834x = 222,648,084,736
5. Step 5: Solve for x
   x = 222,648,084,736/217,834
6. Step 6: Final answer
   x = 1,022,099.79