Finding the Third Proportional to 81,736 and 109,840

Step by Step Solution

1. Step 1: Write the proportion equation
   81,736 : 109,840 = 109,840 : x
2. Step 2: Convert to fraction form
   81,736/109,840 = 109,840/x
3. Step 3: Cross multiply
   81,736x = 109,840 × 109,840
4. Step 4: Simplify right side
   81,736x = 12,064,825,600
5. Step 5: Solve for x
   x = 12,064,825,600/81,736
6. Step 6: Final answer
   x = 147,607.24