Finding the Third Proportional to 105,771 and 222,450

Step by Step Solution

1. Step 1: Write the proportion equation
   105,771 : 222,450 = 222,450 : x
2. Step 2: Convert to fraction form
   105,771/222,450 = 222,450/x
3. Step 3: Cross multiply
   105,771x = 222,450 × 222,450
4. Step 4: Simplify right side
   105,771x = 49,484,002,500
5. Step 5: Solve for x
   x = 49,484,002,500/105,771
6. Step 6: Final answer
   x = 467,840.93