Finding the Third Proportional to 174.56 and 417.56

Step by Step Solution

1. Step 1: Write the proportion equation
   174.56 : 417.56 = 417.56 : x
2. Step 2: Convert to fraction form
   174.56/417.56 = 417.56/x
3. Step 3: Cross multiply
   174.56x = 417.56 × 417.56
4. Step 4: Simplify right side
   174.56x = 174,358.44
5. Step 5: Solve for x
   x = 174,358.44/174.56
6. Step 6: Final answer
   x = 998.83