Finding the Third Proportional to 111.06 and 212.94

Step by Step Solution

1. Step 1: Write the proportion equation
   111.06 : 212.94 = 212.94 : x
2. Step 2: Convert to fraction form
   111.06/212.94 = 212.94/x
3. Step 3: Cross multiply
   111.06x = 212.94 × 212.94
4. Step 4: Simplify right side
   111.06x = 45,342.38
5. Step 5: Solve for x
   x = 45,342.38/111.06
6. Step 6: Final answer
   x = 408.26