Finding the Third Proportional to 221,648 and 472,780

Step by Step Solution

1. Step 1: Write the proportion equation
   221,648 : 472,780 = 472,780 : x
2. Step 2: Convert to fraction form
   221,648/472,780 = 472,780/x
3. Step 3: Cross multiply
   221,648x = 472,780 × 472,780
4. Step 4: Simplify right side
   221,648x = 223,520,928,400
5. Step 5: Solve for x
   x = 223,520,928,400/221,648
6. Step 6: Final answer
   x = 1,008,450.01