Finding the Third Proportional to 81,586 and 109,795

Step by Step Solution

1. Step 1: Write the proportion equation
   81,586 : 109,795 = 109,795 : x
2. Step 2: Convert to fraction form
   81,586/109,795 = 109,795/x
3. Step 3: Cross multiply
   81,586x = 109,795 × 109,795
4. Step 4: Simplify right side
   81,586x = 12,054,942,025
5. Step 5: Solve for x
   x = 12,054,942,025/81,586
6. Step 6: Final answer
   x = 147,757.48