Finding the Third Proportional to 414.38 and 601.88

Step by Step Solution

1. Step 1: Write the proportion equation
   414.38 : 601.88 = 601.88 : x
2. Step 2: Convert to fraction form
   414.38/601.88 = 601.88/x
3. Step 3: Cross multiply
   414.38x = 601.88 × 601.88
4. Step 4: Simplify right side
   414.38x = 362,253.52
5. Step 5: Solve for x
   x = 362,253.52/414.38
6. Step 6: Final answer
   x = 874.22