Finding the Third Proportional to 49,600 and 104,736

Step by Step Solution

1. Step 1: Write the proportion equation
   49,600 : 104,736 = 104,736 : x
2. Step 2: Convert to fraction form
   49,600/104,736 = 104,736/x
3. Step 3: Cross multiply
   49,600x = 104,736 × 104,736
4. Step 4: Simplify right side
   49,600x = 10,969,629,696
5. Step 5: Solve for x
   x = 10,969,629,696/49,600
6. Step 6: Final answer
   x = 221,161.89