Finding the Third Proportional to 105.38 and 222.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105.38 : 222.38 = 222.38 : x
2. Step 2: Convert to fraction form
   105.38/222.38 = 222.38/x
3. Step 3: Cross multiply
   105.38x = 222.38 × 222.38
4. Step 4: Simplify right side
   105.38x = 49,450.64
5. Step 5: Solve for x
   x = 49,450.64/105.38
6. Step 6: Final answer
   x = 469.28