Finding the Third Proportional to 82.25 and 175.63

Step by Step Solution

1. Step 1: Write the proportion equation
   82.25 : 175.63 = 175.63 : x
2. Step 2: Convert to fraction form
   82.25/175.63 = 175.63/x
3. Step 3: Cross multiply
   82.25x = 175.63 × 175.63
4. Step 4: Simplify right side
   82.25x = 30,844.14
5. Step 5: Solve for x
   x = 30,844.14/82.25
6. Step 6: Final answer
   x = 375.00