Finding the Third Proportional to 104.73 and 255.77

Step by Step Solution

1. Step 1: Write the proportion equation
   104.73 : 255.77 = 255.77 : x
2. Step 2: Convert to fraction form
   104.73/255.77 = 255.77/x
3. Step 3: Cross multiply
   104.73x = 255.77 × 255.77
4. Step 4: Simplify right side
   104.73x = 65,420.80
5. Step 5: Solve for x
   x = 65,420.80/104.73
6. Step 6: Final answer
   x = 624.66