Finding the Third Proportional to 82,766 and 111,027

Step by Step Solution

1. Step 1: Write the proportion equation
   82,766 : 111,027 = 111,027 : x
2. Step 2: Convert to fraction form
   82,766/111,027 = 111,027/x
3. Step 3: Cross multiply
   82,766x = 111,027 × 111,027
4. Step 4: Simplify right side
   82,766x = 12,326,994,729
5. Step 5: Solve for x
   x = 12,326,994,729/82,766
6. Step 6: Final answer
   x = 148,937.91