Finding the Third Proportional to 189.38 and 287.81

Step by Step Solution

1. Step 1: Write the proportion equation
   189.38 : 287.81 = 287.81 : x
2. Step 2: Convert to fraction form
   189.38/287.81 = 287.81/x
3. Step 3: Cross multiply
   189.38x = 287.81 × 287.81
4. Step 4: Simplify right side
   189.38x = 82,836.04
5. Step 5: Solve for x
   x = 82,836.04/189.38
6. Step 6: Final answer
   x = 437.42