Finding the Third Proportional to 49,984 and 105,544

Step by Step Solution

1. Step 1: Write the proportion equation
   49,984 : 105,544 = 105,544 : x
2. Step 2: Convert to fraction form
   49,984/105,544 = 105,544/x
3. Step 3: Cross multiply
   49,984x = 105,544 × 105,544
4. Step 4: Simplify right side
   49,984x = 11,139,535,936
5. Step 5: Solve for x
   x = 11,139,535,936/49,984
6. Step 6: Final answer
   x = 222,862.03