Finding the Third Proportional to 174.75 and 333.38

Step by Step Solution

1. Step 1: Write the proportion equation
   174.75 : 333.38 = 333.38 : x
2. Step 2: Convert to fraction form
   174.75/333.38 = 333.38/x
3. Step 3: Cross multiply
   174.75x = 333.38 × 333.38
4. Step 4: Simplify right side
   174.75x = 111,138.89
5. Step 5: Solve for x
   x = 111,138.89/174.75
6. Step 6: Final answer
   x = 635.99