Finding the Third Proportional to 82.66 and 123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82.66 : 123.25 = 123.25 : x
2. Step 2: Convert to fraction form
   82.66/123.25 = 123.25/x
3. Step 3: Cross multiply
   82.66x = 123.25 × 123.25
4. Step 4: Simplify right side
   82.66x = 15,190.56
5. Step 5: Solve for x
   x = 15,190.56/82.66
6. Step 6: Final answer
   x = 183.78