Finding the Third Proportional to 616.50 and 894.38

Step by Step Solution

1. Step 1: Write the proportion equation
   616.50 : 894.38 = 894.38 : x
2. Step 2: Convert to fraction form
   616.50/894.38 = 894.38/x
3. Step 3: Cross multiply
   616.50x = 894.38 × 894.38
4. Step 4: Simplify right side
   616.50x = 799,906.64
5. Step 5: Solve for x
   x = 799,906.64/616.50
6. Step 6: Final answer
   x = 1,297.50