Finding the Third Proportional to 81,980 and 111,268

Step by Step Solution

1. Step 1: Write the proportion equation
   81,980 : 111,268 = 111,268 : x
2. Step 2: Convert to fraction form
   81,980/111,268 = 111,268/x
3. Step 3: Cross multiply
   81,980x = 111,268 × 111,268
4. Step 4: Simplify right side
   81,980x = 12,380,567,824
5. Step 5: Solve for x
   x = 12,380,567,824/81,980
6. Step 6: Final answer
   x = 151,019.37