Finding the Third Proportional to 82,766 and 111,779

Step by Step Solution

1. Step 1: Write the proportion equation
   82,766 : 111,779 = 111,779 : x
2. Step 2: Convert to fraction form
   82,766/111,779 = 111,779/x
3. Step 3: Cross multiply
   82,766x = 111,779 × 111,779
4. Step 4: Simplify right side
   82,766x = 12,494,544,841
5. Step 5: Solve for x
   x = 12,494,544,841/82,766
6. Step 6: Final answer
   x = 150,962.29