Finding the Third Proportional to 221,976 and 488,144

Step by Step Solution

1. Step 1: Write the proportion equation
   221,976 : 488,144 = 488,144 : x
2. Step 2: Convert to fraction form
   221,976/488,144 = 488,144/x
3. Step 3: Cross multiply
   221,976x = 488,144 × 488,144
4. Step 4: Simplify right side
   221,976x = 238,284,564,736
5. Step 5: Solve for x
   x = 238,284,564,736/221,976
6. Step 6: Final answer
   x = 1,073,469.95