Finding the Third Proportional to 80.09 and 123.52

Step by Step Solution

1. Step 1: Write the proportion equation
   80.09 : 123.52 = 123.52 : x
2. Step 2: Convert to fraction form
   80.09/123.52 = 123.52/x
3. Step 3: Cross multiply
   80.09x = 123.52 × 123.52
4. Step 4: Simplify right side
   80.09x = 15,256.47
5. Step 5: Solve for x
   x = 15,256.47/80.09
6. Step 6: Final answer
   x = 190.49