Finding the Third Proportional to 145.69 and 223.45

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 223.45 = 223.45 : x
2. Step 2: Convert to fraction form
   145.69/223.45 = 223.45/x
3. Step 3: Cross multiply
   145.69x = 223.45 × 223.45
4. Step 4: Simplify right side
   145.69x = 49,931.30
5. Step 5: Solve for x
   x = 49,931.30/145.69
6. Step 6: Final answer
   x = 342.73