Finding the Third Proportional to 49,796 and 107,144

Step by Step Solution

1. Step 1: Write the proportion equation
   49,796 : 107,144 = 107,144 : x
2. Step 2: Convert to fraction form
   49,796/107,144 = 107,144/x
3. Step 3: Cross multiply
   49,796x = 107,144 × 107,144
4. Step 4: Simplify right side
   49,796x = 11,479,836,736
5. Step 5: Solve for x
   x = 11,479,836,736/49,796
6. Step 6: Final answer
   x = 230,537.33