Finding the Third Proportional to 221,772 and 475,296

Step by Step Solution

1. Step 1: Write the proportion equation
   221,772 : 475,296 = 475,296 : x
2. Step 2: Convert to fraction form
   221,772/475,296 = 475,296/x
3. Step 3: Cross multiply
   221,772x = 475,296 × 475,296
4. Step 4: Simplify right side
   221,772x = 225,906,287,616
5. Step 5: Solve for x
   x = 225,906,287,616/221,772
6. Step 6: Final answer
   x = 1,018,642.06