Finding the Third Proportional to 50,419 and 105,997

Step by Step Solution

1. Step 1: Write the proportion equation
   50,419 : 105,997 = 105,997 : x
2. Step 2: Convert to fraction form
   50,419/105,997 = 105,997/x
3. Step 3: Cross multiply
   50,419x = 105,997 × 105,997
4. Step 4: Simplify right side
   50,419x = 11,235,364,009
5. Step 5: Solve for x
   x = 11,235,364,009/50,419
6. Step 6: Final answer
   x = 222,839.88