Finding the Third Proportional to 337.88 and 488.25

Step by Step Solution

1. Step 1: Write the proportion equation
   337.88 : 488.25 = 488.25 : x
2. Step 2: Convert to fraction form
   337.88/488.25 = 488.25/x
3. Step 3: Cross multiply
   337.88x = 488.25 × 488.25
4. Step 4: Simplify right side
   337.88x = 238,388.06
5. Step 5: Solve for x
   x = 238,388.06/337.88
6. Step 6: Final answer
   x = 705.55