Finding the Third Proportional to 319.38 and 488.38

Step by Step Solution

1. Step 1: Write the proportion equation
   319.38 : 488.38 = 488.38 : x
2. Step 2: Convert to fraction form
   319.38/488.38 = 488.38/x
3. Step 3: Cross multiply
   319.38x = 488.38 × 488.38
4. Step 4: Simplify right side
   319.38x = 238,510.14
5. Step 5: Solve for x
   x = 238,510.14/319.38
6. Step 6: Final answer
   x = 746.80