Finding the Third Proportional to 111.38 and 219.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 219.38 = 219.38 : x
2. Step 2: Convert to fraction form
   111.38/219.38 = 219.38/x
3. Step 3: Cross multiply
   111.38x = 219.38 × 219.38
4. Step 4: Simplify right side
   111.38x = 48,125.39
5. Step 5: Solve for x
   x = 48,125.39/111.38
6. Step 6: Final answer
   x = 432.10