Finding the Third Proportional to 115.78 and 160.78

Step by Step Solution

1. Step 1: Write the proportion equation
   115.78 : 160.78 = 160.78 : x
2. Step 2: Convert to fraction form
   115.78/160.78 = 160.78/x
3. Step 3: Cross multiply
   115.78x = 160.78 × 160.78
4. Step 4: Simplify right side
   115.78x = 25,850.61
5. Step 5: Solve for x
   x = 25,850.61/115.78
6. Step 6: Final answer
   x = 223.27