Finding the Third Proportional to 136.50 and 294.56

Step by Step Solution

1. Step 1: Write the proportion equation
   136.50 : 294.56 = 294.56 : x
2. Step 2: Convert to fraction form
   136.50/294.56 = 294.56/x
3. Step 3: Cross multiply
   136.50x = 294.56 × 294.56
4. Step 4: Simplify right side
   136.50x = 86,767.07
5. Step 5: Solve for x
   x = 86,767.07/136.50
6. Step 6: Final answer
   x = 635.66