Finding the Third Proportional to 81,756 and 109,647

Step by Step Solution

1. Step 1: Write the proportion equation
   81,756 : 109,647 = 109,647 : x
2. Step 2: Convert to fraction form
   81,756/109,647 = 109,647/x
3. Step 3: Cross multiply
   81,756x = 109,647 × 109,647
4. Step 4: Simplify right side
   81,756x = 12,022,464,609
5. Step 5: Solve for x
   x = 12,022,464,609/81,756
6. Step 6: Final answer
   x = 147,052.99