Finding the Third Proportional to 49,936 and 108,689

Step by Step Solution

1. Step 1: Write the proportion equation
   49,936 : 108,689 = 108,689 : x
2. Step 2: Convert to fraction form
   49,936/108,689 = 108,689/x
3. Step 3: Cross multiply
   49,936x = 108,689 × 108,689
4. Step 4: Simplify right side
   49,936x = 11,813,298,721
5. Step 5: Solve for x
   x = 11,813,298,721/49,936
6. Step 6: Final answer
   x = 236,568.78