Finding the Third Proportional to 481.75 and 617.38

Step by Step Solution

1. Step 1: Write the proportion equation
   481.75 : 617.38 = 617.38 : x
2. Step 2: Convert to fraction form
   481.75/617.38 = 617.38/x
3. Step 3: Cross multiply
   481.75x = 617.38 × 617.38
4. Step 4: Simplify right side
   481.75x = 381,151.89
5. Step 5: Solve for x
   x = 381,151.89/481.75
6. Step 6: Final answer
   x = 791.18