Finding the Third Proportional to 82.83 and 178.24

Step by Step Solution

1. Step 1: Write the proportion equation
   82.83 : 178.24 = 178.24 : x
2. Step 2: Convert to fraction form
   82.83/178.24 = 178.24/x
3. Step 3: Cross multiply
   82.83x = 178.24 × 178.24
4. Step 4: Simplify right side
   82.83x = 31,770.28
5. Step 5: Solve for x
   x = 31,770.28/82.83
6. Step 6: Final answer
   x = 383.57