Finding the Third Proportional to 135.84 and 196.59

Step by Step Solution

1. Step 1: Write the proportion equation
   135.84 : 196.59 = 196.59 : x
2. Step 2: Convert to fraction form
   135.84/196.59 = 196.59/x
3. Step 3: Cross multiply
   135.84x = 196.59 × 196.59
4. Step 4: Simplify right side
   135.84x = 38,649.10
5. Step 5: Solve for x
   x = 38,649.10/135.84
6. Step 6: Final answer
   x = 284.51