Finding the Third Proportional to 221,536 and 474,568

Step by Step Solution

1. Step 1: Write the proportion equation
   221,536 : 474,568 = 474,568 : x
2. Step 2: Convert to fraction form
   221,536/474,568 = 474,568/x
3. Step 3: Cross multiply
   221,536x = 474,568 × 474,568
4. Step 4: Simplify right side
   221,536x = 225,214,786,624
5. Step 5: Solve for x
   x = 225,214,786,624/221,536
6. Step 6: Final answer
   x = 1,016,605.82