Finding the Third Proportional to 49.50 and 112.69

Step by Step Solution

1. Step 1: Write the proportion equation
   49.50 : 112.69 = 112.69 : x
2. Step 2: Convert to fraction form
   49.50/112.69 = 112.69/x
3. Step 3: Cross multiply
   49.50x = 112.69 × 112.69
4. Step 4: Simplify right side
   49.50x = 12,698.47
5. Step 5: Solve for x
   x = 12,698.47/49.50
6. Step 6: Final answer
   x = 256.53