Finding the Third Proportional to 262.50 and 573.38

Step by Step Solution

1. Step 1: Write the proportion equation
   262.50 : 573.38 = 573.38 : x
2. Step 2: Convert to fraction form
   262.50/573.38 = 573.38/x
3. Step 3: Cross multiply
   262.50x = 573.38 × 573.38
4. Step 4: Simplify right side
   262.50x = 328,758.89
5. Step 5: Solve for x
   x = 328,758.89/262.50
6. Step 6: Final answer
   x = 1,252.41