Finding the Third Proportional to 288.88 and 458.69

Step by Step Solution

1. Step 1: Write the proportion equation
   288.88 : 458.69 = 458.69 : x
2. Step 2: Convert to fraction form
   288.88/458.69 = 458.69/x
3. Step 3: Cross multiply
   288.88x = 458.69 × 458.69
4. Step 4: Simplify right side
   288.88x = 210,394.22
5. Step 5: Solve for x
   x = 210,394.22/288.88
6. Step 6: Final answer
   x = 728.32