Finding the Third Proportional to 301.78 and 333.42

Step by Step Solution

1. Step 1: Write the proportion equation
   301.78 : 333.42 = 333.42 : x
2. Step 2: Convert to fraction form
   301.78/333.42 = 333.42/x
3. Step 3: Cross multiply
   301.78x = 333.42 × 333.42
4. Step 4: Simplify right side
   301.78x = 111,170.15
5. Step 5: Solve for x
   x = 111,170.15/301.78
6. Step 6: Final answer
   x = 368.38