Finding the Third Proportional to 82.25 and 173.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82.25 : 173.88 = 173.88 : x
2. Step 2: Convert to fraction form
   82.25/173.88 = 173.88/x
3. Step 3: Cross multiply
   82.25x = 173.88 × 173.88
4. Step 4: Simplify right side
   82.25x = 30,232.52
5. Step 5: Solve for x
   x = 30,232.52/82.25
6. Step 6: Final answer
   x = 367.57