Finding the Third Proportional to 81,982 and 111,271

Step by Step Solution

1. Step 1: Write the proportion equation
   81,982 : 111,271 = 111,271 : x
2. Step 2: Convert to fraction form
   81,982/111,271 = 111,271/x
3. Step 3: Cross multiply
   81,982x = 111,271 × 111,271
4. Step 4: Simplify right side
   81,982x = 12,381,235,441
5. Step 5: Solve for x
   x = 12,381,235,441/81,982
6. Step 6: Final answer
   x = 151,023.83