Finding the Third Proportional to 49,647 and 106,401

Step by Step Solution

1. Step 1: Write the proportion equation
   49,647 : 106,401 = 106,401 : x
2. Step 2: Convert to fraction form
   49,647/106,401 = 106,401/x
3. Step 3: Cross multiply
   49,647x = 106,401 × 106,401
4. Step 4: Simplify right side
   49,647x = 11,321,172,801
5. Step 5: Solve for x
   x = 11,321,172,801/49,647
6. Step 6: Final answer
   x = 228,033.37