Finding the Third Proportional to 67.68 and 147.20

Step by Step Solution

1. Step 1: Write the proportion equation
   67.68 : 147.20 = 147.20 : x
2. Step 2: Convert to fraction form
   67.68/147.20 = 147.20/x
3. Step 3: Cross multiply
   67.68x = 147.20 × 147.20
4. Step 4: Simplify right side
   67.68x = 21,667.61
5. Step 5: Solve for x
   x = 21,667.61/67.68
6. Step 6: Final answer
   x = 320.17