Finding the Third Proportional to 75,662 and 111,401

Step by Step Solution

1. Step 1: Write the proportion equation
   75,662 : 111,401 = 111,401 : x
2. Step 2: Convert to fraction form
   75,662/111,401 = 111,401/x
3. Step 3: Cross multiply
   75,662x = 111,401 × 111,401
4. Step 4: Simplify right side
   75,662x = 12,410,182,801
5. Step 5: Solve for x
   x = 12,410,182,801/75,662
6. Step 6: Final answer
   x = 164,021.34