Finding the Third Proportional to 49.78 and 112.43

Step by Step Solution

1. Step 1: Write the proportion equation
   49.78 : 112.43 = 112.43 : x
2. Step 2: Convert to fraction form
   49.78/112.43 = 112.43/x
3. Step 3: Cross multiply
   49.78x = 112.43 × 112.43
4. Step 4: Simplify right side
   49.78x = 12,640.43
5. Step 5: Solve for x
   x = 12,640.43/49.78
6. Step 6: Final answer
   x = 253.92