Finding the Third Proportional to 288.42 and 433.55

Step by Step Solution

1. Step 1: Write the proportion equation
   288.42 : 433.55 = 433.55 : x
2. Step 2: Convert to fraction form
   288.42/433.55 = 433.55/x
3. Step 3: Cross multiply
   288.42x = 433.55 × 433.55
4. Step 4: Simplify right side
   288.42x = 187,962.89
5. Step 5: Solve for x
   x = 187,962.89/288.42
6. Step 6: Final answer
   x = 651.69