Finding the Third Proportional to 81,596 and 109,824

Step by Step Solution

1. Step 1: Write the proportion equation
   81,596 : 109,824 = 109,824 : x
2. Step 2: Convert to fraction form
   81,596/109,824 = 109,824/x
3. Step 3: Cross multiply
   81,596x = 109,824 × 109,824
4. Step 4: Simplify right side
   81,596x = 12,061,310,976
5. Step 5: Solve for x
   x = 12,061,310,976/81,596
6. Step 6: Final answer
   x = 147,817.43