Finding the Third Proportional to 81,826 and 111,074

Step by Step Solution

1. Step 1: Write the proportion equation
   81,826 : 111,074 = 111,074 : x
2. Step 2: Convert to fraction form
   81,826/111,074 = 111,074/x
3. Step 3: Cross multiply
   81,826x = 111,074 × 111,074
4. Step 4: Simplify right side
   81,826x = 12,337,433,476
5. Step 5: Solve for x
   x = 12,337,433,476/81,826
6. Step 6: Final answer
   x = 150,776.45