Finding the Third Proportional to 49,538 and 105,796

Step by Step Solution

1. Step 1: Write the proportion equation
   49,538 : 105,796 = 105,796 : x
2. Step 2: Convert to fraction form
   49,538/105,796 = 105,796/x
3. Step 3: Cross multiply
   49,538x = 105,796 × 105,796
4. Step 4: Simplify right side
   49,538x = 11,192,793,616
5. Step 5: Solve for x
   x = 11,192,793,616/49,538
6. Step 6: Final answer
   x = 225,943.59