Finding the Third Proportional to 288.56 and 384.56

Step by Step Solution

1. Step 1: Write the proportion equation
   288.56 : 384.56 = 384.56 : x
2. Step 2: Convert to fraction form
   288.56/384.56 = 384.56/x
3. Step 3: Cross multiply
   288.56x = 384.56 × 384.56
4. Step 4: Simplify right side
   288.56x = 147,888.32
5. Step 5: Solve for x
   x = 147,888.32/288.56
6. Step 6: Final answer
   x = 512.50