Finding the Third Proportional to 179.25 and 363.38

Step by Step Solution

1. Step 1: Write the proportion equation
   179.25 : 363.38 = 363.38 : x
2. Step 2: Convert to fraction form
   179.25/363.38 = 363.38/x
3. Step 3: Cross multiply
   179.25x = 363.38 × 363.38
4. Step 4: Simplify right side
   179.25x = 132,041.39
5. Step 5: Solve for x
   x = 132,041.39/179.25
6. Step 6: Final answer
   x = 736.63