Finding the Third Proportional to 67.78 and 159.96

Step by Step Solution

1. Step 1: Write the proportion equation
   67.78 : 159.96 = 159.96 : x
2. Step 2: Convert to fraction form
   67.78/159.96 = 159.96/x
3. Step 3: Cross multiply
   67.78x = 159.96 × 159.96
4. Step 4: Simplify right side
   67.78x = 25,587.50
5. Step 5: Solve for x
   x = 25,587.50/67.78
6. Step 6: Final answer
   x = 377.50