Finding the Third Proportional to 82,238 and 111,441

Step by Step Solution

1. Step 1: Write the proportion equation
   82,238 : 111,441 = 111,441 : x
2. Step 2: Convert to fraction form
   82,238/111,441 = 111,441/x
3. Step 3: Cross multiply
   82,238x = 111,441 × 111,441
4. Step 4: Simplify right side
   82,238x = 12,419,096,481
5. Step 5: Solve for x
   x = 12,419,096,481/82,238
6. Step 6: Final answer
   x = 151,014.09