Finding the Third Proportional to 85.55 and 174.23

Step by Step Solution

1. Step 1: Write the proportion equation
   85.55 : 174.23 = 174.23 : x
2. Step 2: Convert to fraction form
   85.55/174.23 = 174.23/x
3. Step 3: Cross multiply
   85.55x = 174.23 × 174.23
4. Step 4: Simplify right side
   85.55x = 30,357.62
5. Step 5: Solve for x
   x = 30,357.62/85.55
6. Step 6: Final answer
   x = 354.87