Finding the Third Proportional to 134.88 and 194.69

Step by Step Solution

1. Step 1: Write the proportion equation
   134.88 : 194.69 = 194.69 : x
2. Step 2: Convert to fraction form
   134.88/194.69 = 194.69/x
3. Step 3: Cross multiply
   134.88x = 194.69 × 194.69
4. Step 4: Simplify right side
   134.88x = 37,903.22
5. Step 5: Solve for x
   x = 37,903.22/134.88
6. Step 6: Final answer
   x = 281.02