Finding the Third Proportional to 145.69 and 223.59

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 223.59 = 223.59 : x
2. Step 2: Convert to fraction form
   145.69/223.59 = 223.59/x
3. Step 3: Cross multiply
   145.69x = 223.59 × 223.59
4. Step 4: Simplify right side
   145.69x = 49,994.17
5. Step 5: Solve for x
   x = 49,994.17/145.69
6. Step 6: Final answer
   x = 343.16