Finding the Third Proportional to 288.56 and 451.83

Step by Step Solution

1. Step 1: Write the proportion equation
   288.56 : 451.83 = 451.83 : x
2. Step 2: Convert to fraction form
   288.56/451.83 = 451.83/x
3. Step 3: Cross multiply
   288.56x = 451.83 × 451.83
4. Step 4: Simplify right side
   288.56x = 204,148.65
5. Step 5: Solve for x
   x = 204,148.65/288.56
6. Step 6: Final answer
   x = 707.47