Finding the Third Proportional to 221,684 and 474,874

Step by Step Solution

1. Step 1: Write the proportion equation
   221,684 : 474,874 = 474,874 : x
2. Step 2: Convert to fraction form
   221,684/474,874 = 474,874/x
3. Step 3: Cross multiply
   221,684x = 474,874 × 474,874
4. Step 4: Simplify right side
   221,684x = 225,505,315,876
5. Step 5: Solve for x
   x = 225,505,315,876/221,684
6. Step 6: Final answer
   x = 1,017,237.67