Finding the Third Proportional to 233.50 and 499.38

Step by Step Solution

1. Step 1: Write the proportion equation
   233.50 : 499.38 = 499.38 : x
2. Step 2: Convert to fraction form
   233.50/499.38 = 499.38/x
3. Step 3: Cross multiply
   233.50x = 499.38 × 499.38
4. Step 4: Simplify right side
   233.50x = 249,375.39
5. Step 5: Solve for x
   x = 249,375.39/233.50
6. Step 6: Final answer
   x = 1,067.99