Finding the Third Proportional to 81,767 and 109,885

Step by Step Solution

1. Step 1: Write the proportion equation
   81,767 : 109,885 = 109,885 : x
2. Step 2: Convert to fraction form
   81,767/109,885 = 109,885/x
3. Step 3: Cross multiply
   81,767x = 109,885 × 109,885
4. Step 4: Simplify right side
   81,767x = 12,074,713,225
5. Step 5: Solve for x
   x = 12,074,713,225/81,767
6. Step 6: Final answer
   x = 147,672.21