Finding the Third Proportional to 288.56 and 458.30

Step by Step Solution

1. Step 1: Write the proportion equation
   288.56 : 458.30 = 458.30 : x
2. Step 2: Convert to fraction form
   288.56/458.30 = 458.30/x
3. Step 3: Cross multiply
   288.56x = 458.30 × 458.30
4. Step 4: Simplify right side
   288.56x = 210,036.03
5. Step 5: Solve for x
   x = 210,036.03/288.56
6. Step 6: Final answer
   x = 727.87