Finding the Third Proportional to 105,772 and 222,452

Step by Step Solution

1. Step 1: Write the proportion equation
   105,772 : 222,452 = 222,452 : x
2. Step 2: Convert to fraction form
   105,772/222,452 = 222,452/x
3. Step 3: Cross multiply
   105,772x = 222,452 × 222,452
4. Step 4: Simplify right side
   105,772x = 49,484,892,304
5. Step 5: Solve for x
   x = 49,484,892,304/105,772
6. Step 6: Final answer
   x = 467,844.91