Finding the Third Proportional to 288.56 and 613.83

Step by Step Solution

1. Step 1: Write the proportion equation
   288.56 : 613.83 = 613.83 : x
2. Step 2: Convert to fraction form
   288.56/613.83 = 613.83/x
3. Step 3: Cross multiply
   288.56x = 613.83 × 613.83
4. Step 4: Simplify right side
   288.56x = 376,784.97
5. Step 5: Solve for x
   x = 376,784.97/288.56
6. Step 6: Final answer
   x = 1,305.73