Finding the Third Proportional to 49,648 and 100,736

Step by Step Solution

1. Step 1: Write the proportion equation
   49,648 : 100,736 = 100,736 : x
2. Step 2: Convert to fraction form
   49,648/100,736 = 100,736/x
3. Step 3: Cross multiply
   49,648x = 100,736 × 100,736
4. Step 4: Simplify right side
   49,648x = 10,147,741,696
5. Step 5: Solve for x
   x = 10,147,741,696/49,648
6. Step 6: Final answer
   x = 204,393.77