Finding the Third Proportional to 67.78 and 102.23

Step by Step Solution

1. Step 1: Write the proportion equation
   67.78 : 102.23 = 102.23 : x
2. Step 2: Convert to fraction form
   67.78/102.23 = 102.23/x
3. Step 3: Cross multiply
   67.78x = 102.23 × 102.23
4. Step 4: Simplify right side
   67.78x = 10,451.87
5. Step 5: Solve for x
   x = 10,451.87/67.78
6. Step 6: Final answer
   x = 154.20