Finding the Third Proportional to 82.55 and 174.61

Step by Step Solution

1. Step 1: Write the proportion equation
   82.55 : 174.61 = 174.61 : x
2. Step 2: Convert to fraction form
   82.55/174.61 = 174.61/x
3. Step 3: Cross multiply
   82.55x = 174.61 × 174.61
4. Step 4: Simplify right side
   82.55x = 30,488.43
5. Step 5: Solve for x
   x = 30,488.43/82.55
6. Step 6: Final answer
   x = 369.35