Finding the Third Proportional to 288.56 and 464.06

Step by Step Solution

1. Step 1: Write the proportion equation
   288.56 : 464.06 = 464.06 : x
2. Step 2: Convert to fraction form
   288.56/464.06 = 464.06/x
3. Step 3: Cross multiply
   288.56x = 464.06 × 464.06
4. Step 4: Simplify right side
   288.56x = 215,354.00
5. Step 5: Solve for x
   x = 215,354.00/288.56
6. Step 6: Final answer
   x = 746.30