Finding the Third Proportional to 136.78 and 299.06

Step by Step Solution

1. Step 1: Write the proportion equation
   136.78 : 299.06 = 299.06 : x
2. Step 2: Convert to fraction form
   136.78/299.06 = 299.06/x
3. Step 3: Cross multiply
   136.78x = 299.06 × 299.06
4. Step 4: Simplify right side
   136.78x = 89,438.38
5. Step 5: Solve for x
   x = 89,438.38/136.78
6. Step 6: Final answer
   x = 653.88