Finding the Third Proportional to 83,162 and 111,459

Step by Step Solution

1. Step 1: Write the proportion equation
   83,162 : 111,459 = 111,459 : x
2. Step 2: Convert to fraction form
   83,162/111,459 = 111,459/x
3. Step 3: Cross multiply
   83,162x = 111,459 × 111,459
4. Step 4: Simplify right side
   83,162x = 12,423,108,681
5. Step 5: Solve for x
   x = 12,423,108,681/83,162
6. Step 6: Final answer
   x = 149,384.44