Finding the Third Proportional to 189.94 and 256.38

Step by Step Solution

1. Step 1: Write the proportion equation
   189.94 : 256.38 = 256.38 : x
2. Step 2: Convert to fraction form
   189.94/256.38 = 256.38/x
3. Step 3: Cross multiply
   189.94x = 256.38 × 256.38
4. Step 4: Simplify right side
   189.94x = 65,728.14
5. Step 5: Solve for x
   x = 65,728.14/189.94
6. Step 6: Final answer
   x = 346.05