Finding the Third Proportional to 82.44 and 123.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82.44 : 123.06 = 123.06 : x
2. Step 2: Convert to fraction form
   82.44/123.06 = 123.06/x
3. Step 3: Cross multiply
   82.44x = 123.06 × 123.06
4. Step 4: Simplify right side
   82.44x = 15,144.38
5. Step 5: Solve for x
   x = 15,144.38/82.44
6. Step 6: Final answer
   x = 183.71