Finding the Third Proportional to 288.50 and 447.88

Step by Step Solution

1. Step 1: Write the proportion equation
   288.50 : 447.88 = 447.88 : x
2. Step 2: Convert to fraction form
   288.50/447.88 = 447.88/x
3. Step 3: Cross multiply
   288.50x = 447.88 × 447.88
4. Step 4: Simplify right side
   288.50x = 200,592.02
5. Step 5: Solve for x
   x = 200,592.02/288.50
6. Step 6: Final answer
   x = 695.29