Finding the Third Proportional to 67.78 and 145.41

Step by Step Solution

1. Step 1: Write the proportion equation
   67.78 : 145.41 = 145.41 : x
2. Step 2: Convert to fraction form
   67.78/145.41 = 145.41/x
3. Step 3: Cross multiply
   67.78x = 145.41 × 145.41
4. Step 4: Simplify right side
   67.78x = 21,142.98
5. Step 5: Solve for x
   x = 21,142.98/67.78
6. Step 6: Final answer
   x = 311.93