Finding the Third Proportional to 233.25 and 496.31

Step by Step Solution

1. Step 1: Write the proportion equation
   233.25 : 496.31 = 496.31 : x
2. Step 2: Convert to fraction form
   233.25/496.31 = 496.31/x
3. Step 3: Cross multiply
   233.25x = 496.31 × 496.31
4. Step 4: Simplify right side
   233.25x = 246,326.10
5. Step 5: Solve for x
   x = 246,326.10/233.25
6. Step 6: Final answer
   x = 1,056.06