Finding the Third Proportional to 338 and 488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338 : 488.50 = 488.50 : x
2. Step 2: Convert to fraction form
   338/488.50 = 488.50/x
3. Step 3: Cross multiply
   338x = 488.50 × 488.50
4. Step 4: Simplify right side
   338x = 238,632.25
5. Step 5: Solve for x
   x = 238,632.25/338
6. Step 6: Final answer
   x = 706.01