Finding the Third Proportional to 174.50 and 423.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174.50 : 423.25 = 423.25 : x
2. Step 2: Convert to fraction form
   174.50/423.25 = 423.25/x
3. Step 3: Cross multiply
   174.50x = 423.25 × 423.25
4. Step 4: Simplify right side
   174.50x = 179,140.56
5. Step 5: Solve for x
   x = 179,140.56/174.50
6. Step 6: Final answer
   x = 1,026.59