Finding the Third Proportional to 123.80 and 174.14

Step by Step Solution

1. Step 1: Write the proportion equation
   123.80 : 174.14 = 174.14 : x
2. Step 2: Convert to fraction form
   123.80/174.14 = 174.14/x
3. Step 3: Cross multiply
   123.80x = 174.14 × 174.14
4. Step 4: Simplify right side
   123.80x = 30,324.96
5. Step 5: Solve for x
   x = 30,324.96/123.80
6. Step 6: Final answer
   x = 244.96