Finding the Third Proportional to 81,744 and 109,851

Step by Step Solution

1. Step 1: Write the proportion equation
   81,744 : 109,851 = 109,851 : x
2. Step 2: Convert to fraction form
   81,744/109,851 = 109,851/x
3. Step 3: Cross multiply
   81,744x = 109,851 × 109,851
4. Step 4: Simplify right side
   81,744x = 12,067,242,201
5. Step 5: Solve for x
   x = 12,067,242,201/81,744
6. Step 6: Final answer
   x = 147,622.36