Finding the Third Proportional to 174.75 and 383.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174.75 : 383.25 = 383.25 : x
2. Step 2: Convert to fraction form
   174.75/383.25 = 383.25/x
3. Step 3: Cross multiply
   174.75x = 383.25 × 383.25
4. Step 4: Simplify right side
   174.75x = 146,880.56
5. Step 5: Solve for x
   x = 146,880.56/174.75
6. Step 6: Final answer
   x = 840.52