Finding the Third Proportional to 288.56 and 375.89

Step by Step Solution

1. Step 1: Write the proportion equation
   288.56 : 375.89 = 375.89 : x
2. Step 2: Convert to fraction form
   288.56/375.89 = 375.89/x
3. Step 3: Cross multiply
   288.56x = 375.89 × 375.89
4. Step 4: Simplify right side
   288.56x = 141,293.76
5. Step 5: Solve for x
   x = 141,293.76/288.56
6. Step 6: Final answer
   x = 489.65