Finding the Third Proportional to 107.25 and 233.38

Step by Step Solution

1. Step 1: Write the proportion equation
   107.25 : 233.38 = 233.38 : x
2. Step 2: Convert to fraction form
   107.25/233.38 = 233.38/x
3. Step 3: Cross multiply
   107.25x = 233.38 × 233.38
4. Step 4: Simplify right side
   107.25x = 54,463.89
5. Step 5: Solve for x
   x = 54,463.89/107.25
6. Step 6: Final answer
   x = 507.82