Finding the Third Proportional to 136.69 and 206.46

Step by Step Solution

1. Step 1: Write the proportion equation
   136.69 : 206.46 = 206.46 : x
2. Step 2: Convert to fraction form
   136.69/206.46 = 206.46/x
3. Step 3: Cross multiply
   136.69x = 206.46 × 206.46
4. Step 4: Simplify right side
   136.69x = 42,623.70
5. Step 5: Solve for x
   x = 42,623.70/136.69
6. Step 6: Final answer
   x = 311.83