Finding the Third Proportional to 145.69 and 319.22

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 319.22 = 319.22 : x
2. Step 2: Convert to fraction form
   145.69/319.22 = 319.22/x
3. Step 3: Cross multiply
   145.69x = 319.22 × 319.22
4. Step 4: Simplify right side
   145.69x = 101,900.61
5. Step 5: Solve for x
   x = 101,900.61/145.69
6. Step 6: Final answer
   x = 699.45