Finding the Third Proportional to 82.50 and 173.63

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 173.63 = 173.63 : x
2. Step 2: Convert to fraction form
   82.50/173.63 = 173.63/x
3. Step 3: Cross multiply
   82.50x = 173.63 × 173.63
4. Step 4: Simplify right side
   82.50x = 30,145.64
5. Step 5: Solve for x
   x = 30,145.64/82.50
6. Step 6: Final answer
   x = 365.40