Finding the Third Proportional to 189.94 and 253.69

Step by Step Solution

1. Step 1: Write the proportion equation
   189.94 : 253.69 = 253.69 : x
2. Step 2: Convert to fraction form
   189.94/253.69 = 253.69/x
3. Step 3: Cross multiply
   189.94x = 253.69 × 253.69
4. Step 4: Simplify right side
   189.94x = 64,357.35
5. Step 5: Solve for x
   x = 64,357.35/189.94
6. Step 6: Final answer
   x = 338.83