Finding the Third Proportional to 233.31 and 506.38

Step by Step Solution

1. Step 1: Write the proportion equation
   233.31 : 506.38 = 506.38 : x
2. Step 2: Convert to fraction form
   233.31/506.38 = 506.38/x
3. Step 3: Cross multiply
   233.31x = 506.38 × 506.38
4. Step 4: Simplify right side
   233.31x = 256,415.64
5. Step 5: Solve for x
   x = 256,415.64/233.31
6. Step 6: Final answer
   x = 1,099.02