Finding the Third Proportional to 145.69 and 224.16

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 224.16 = 224.16 : x
2. Step 2: Convert to fraction form
   145.69/224.16 = 224.16/x
3. Step 3: Cross multiply
   145.69x = 224.16 × 224.16
4. Step 4: Simplify right side
   145.69x = 50,246.02
5. Step 5: Solve for x
   x = 50,246.02/145.69
6. Step 6: Final answer
   x = 344.89