Finding the Third Proportional to 82,962 and 111,771

Step by Step Solution

1. Step 1: Write the proportion equation
   82,962 : 111,771 = 111,771 : x
2. Step 2: Convert to fraction form
   82,962/111,771 = 111,771/x
3. Step 3: Cross multiply
   82,962x = 111,771 × 111,771
4. Step 4: Simplify right side
   82,962x = 12,492,756,441
5. Step 5: Solve for x
   x = 12,492,756,441/82,962
6. Step 6: Final answer
   x = 150,584.08