Finding the Third Proportional to 82,206 and 111,401

Step by Step Solution

1. Step 1: Write the proportion equation
   82,206 : 111,401 = 111,401 : x
2. Step 2: Convert to fraction form
   82,206/111,401 = 111,401/x
3. Step 3: Cross multiply
   82,206x = 111,401 × 111,401
4. Step 4: Simplify right side
   82,206x = 12,410,182,801
5. Step 5: Solve for x
   x = 12,410,182,801/82,206
6. Step 6: Final answer
   x = 150,964.44