Finding the Third Proportional to 82.75 and 176.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82.75 : 176.25 = 176.25 : x
2. Step 2: Convert to fraction form
   82.75/176.25 = 176.25/x
3. Step 3: Cross multiply
   82.75x = 176.25 × 176.25
4. Step 4: Simplify right side
   82.75x = 31,064.06
5. Step 5: Solve for x
   x = 31,064.06/82.75
6. Step 6: Final answer
   x = 375.40