Finding the Third Proportional to 233.06 and 334.78

Step by Step Solution

1. Step 1: Write the proportion equation
   233.06 : 334.78 = 334.78 : x
2. Step 2: Convert to fraction form
   233.06/334.78 = 334.78/x
3. Step 3: Cross multiply
   233.06x = 334.78 × 334.78
4. Step 4: Simplify right side
   233.06x = 112,078.49
5. Step 5: Solve for x
   x = 112,078.49/233.06
6. Step 6: Final answer
   x = 480.89