Finding the Third Proportional to 233.46 and 356.40

Step by Step Solution

1. Step 1: Write the proportion equation
   233.46 : 356.40 = 356.40 : x
2. Step 2: Convert to fraction form
   233.46/356.40 = 356.40/x
3. Step 3: Cross multiply
   233.46x = 356.40 × 356.40
4. Step 4: Simplify right side
   233.46x = 127,022.37
5. Step 5: Solve for x
   x = 127,022.37/233.46
6. Step 6: Final answer
   x = 544.08