Finding the Third Proportional to 81,828 and 111,077

Step by Step Solution

1. Step 1: Write the proportion equation
   81,828 : 111,077 = 111,077 : x
2. Step 2: Convert to fraction form
   81,828/111,077 = 111,077/x
3. Step 3: Cross multiply
   81,828x = 111,077 × 111,077
4. Step 4: Simplify right side
   81,828x = 12,338,099,929
5. Step 5: Solve for x
   x = 12,338,099,929/81,828
6. Step 6: Final answer
   x = 150,780.91