Finding the Third Proportional to 501.75 and 704.38

Step by Step Solution

1. Step 1: Write the proportion equation
   501.75 : 704.38 = 704.38 : x
2. Step 2: Convert to fraction form
   501.75/704.38 = 704.38/x
3. Step 3: Cross multiply
   501.75x = 704.38 × 704.38
4. Step 4: Simplify right side
   501.75x = 496,144.14
5. Step 5: Solve for x
   x = 496,144.14/501.75
6. Step 6: Final answer
   x = 988.83