Finding the Third Proportional to 82.82 and 178.14

Step by Step Solution

1. Step 1: Write the proportion equation
   82.82 : 178.14 = 178.14 : x
2. Step 2: Convert to fraction form
   82.82/178.14 = 178.14/x
3. Step 3: Cross multiply
   82.82x = 178.14 × 178.14
4. Step 4: Simplify right side
   82.82x = 31,732.69
5. Step 5: Solve for x
   x = 31,732.69/82.82
6. Step 6: Final answer
   x = 383.16