Finding the Third Proportional to 221,766 and 474,636

Step by Step Solution

1. Step 1: Write the proportion equation
   221,766 : 474,636 = 474,636 : x
2. Step 2: Convert to fraction form
   221,766/474,636 = 474,636/x
3. Step 3: Cross multiply
   221,766x = 474,636 × 474,636
4. Step 4: Simplify right side
   221,766x = 225,279,332,496
5. Step 5: Solve for x
   x = 225,279,332,496/221,766
6. Step 6: Final answer
   x = 1,015,842.52