Finding the Third Proportional to 136.16 and 205.56

Step by Step Solution

1. Step 1: Write the proportion equation
   136.16 : 205.56 = 205.56 : x
2. Step 2: Convert to fraction form
   136.16/205.56 = 205.56/x
3. Step 3: Cross multiply
   136.16x = 205.56 × 205.56
4. Step 4: Simplify right side
   136.16x = 42,254.34
5. Step 5: Solve for x
   x = 42,254.34/136.16
6. Step 6: Final answer
   x = 310.33