Finding the Third Proportional to 174.56 and 412.41

Step by Step Solution

1. Step 1: Write the proportion equation
   174.56 : 412.41 = 412.41 : x
2. Step 2: Convert to fraction form
   174.56/412.41 = 412.41/x
3. Step 3: Cross multiply
   174.56x = 412.41 × 412.41
4. Step 4: Simplify right side
   174.56x = 170,078.92
5. Step 5: Solve for x
   x = 170,078.92/174.56
6. Step 6: Final answer
   x = 974.32