Finding the Third Proportional to 136.53 and 293.78

Step by Step Solution

1. Step 1: Write the proportion equation
   136.53 : 293.78 = 293.78 : x
2. Step 2: Convert to fraction form
   136.53/293.78 = 293.78/x
3. Step 3: Cross multiply
   136.53x = 293.78 × 293.78
4. Step 4: Simplify right side
   136.53x = 86,308.57
5. Step 5: Solve for x
   x = 86,308.57/136.53
6. Step 6: Final answer
   x = 632.16