Finding the Third Proportional to 81,735 and 109,839

Step by Step Solution

1. Step 1: Write the proportion equation
   81,735 : 109,839 = 109,839 : x
2. Step 2: Convert to fraction form
   81,735/109,839 = 109,839/x
3. Step 3: Cross multiply
   81,735x = 109,839 × 109,839
4. Step 4: Simplify right side
   81,735x = 12,064,605,921
5. Step 5: Solve for x
   x = 12,064,605,921/81,735
6. Step 6: Final answer
   x = 147,606.36