Finding the Third Proportional to 189.75 and 443.38

Step by Step Solution

1. Step 1: Write the proportion equation
   189.75 : 443.38 = 443.38 : x
2. Step 2: Convert to fraction form
   189.75/443.38 = 443.38/x
3. Step 3: Cross multiply
   189.75x = 443.38 × 443.38
4. Step 4: Simplify right side
   189.75x = 196,581.39
5. Step 5: Solve for x
   x = 196,581.39/189.75
6. Step 6: Final answer
   x = 1,036.00