Finding the Third Proportional to 115.50 and 174.38

Step by Step Solution

1. Step 1: Write the proportion equation
   115.50 : 174.38 = 174.38 : x
2. Step 2: Convert to fraction form
   115.50/174.38 = 174.38/x
3. Step 3: Cross multiply
   115.50x = 174.38 × 174.38
4. Step 4: Simplify right side
   115.50x = 30,406.64
5. Step 5: Solve for x
   x = 30,406.64/115.50
6. Step 6: Final answer
   x = 263.26