Finding the Third Proportional to 189.75 and 447.38

Step by Step Solution

1. Step 1: Write the proportion equation
   189.75 : 447.38 = 447.38 : x
2. Step 2: Convert to fraction form
   189.75/447.38 = 447.38/x
3. Step 3: Cross multiply
   189.75x = 447.38 × 447.38
4. Step 4: Simplify right side
   189.75x = 200,144.39
5. Step 5: Solve for x
   x = 200,144.39/189.75
6. Step 6: Final answer
   x = 1,054.78