Finding the Third Proportional to 217,416 and 474,684

Step by Step Solution

1. Step 1: Write the proportion equation
   217,416 : 474,684 = 474,684 : x
2. Step 2: Convert to fraction form
   217,416/474,684 = 474,684/x
3. Step 3: Cross multiply
   217,416x = 474,684 × 474,684
4. Step 4: Simplify right side
   217,416x = 225,324,899,856
5. Step 5: Solve for x
   x = 225,324,899,856/217,416
6. Step 6: Final answer
   x = 1,036,376.81