Finding the Third Proportional to 219,772 and 470,648

Step by Step Solution

1. Step 1: Write the proportion equation
   219,772 : 470,648 = 470,648 : x
2. Step 2: Convert to fraction form
   219,772/470,648 = 470,648/x
3. Step 3: Cross multiply
   219,772x = 470,648 × 470,648
4. Step 4: Simplify right side
   219,772x = 221,509,539,904
5. Step 5: Solve for x
   x = 221,509,539,904/219,772
6. Step 6: Final answer
   x = 1,007,906.10