Finding the Third Proportional to 136.31 and 205.69

Step by Step Solution

1. Step 1: Write the proportion equation
   136.31 : 205.69 = 205.69 : x
2. Step 2: Convert to fraction form
   136.31/205.69 = 205.69/x
3. Step 3: Cross multiply
   136.31x = 205.69 × 205.69
4. Step 4: Simplify right side
   136.31x = 42,307.35
5. Step 5: Solve for x
   x = 42,307.35/136.31
6. Step 6: Final answer
   x = 310.37