Finding the Third Proportional to 81,742 and 109,850

Step by Step Solution

1. Step 1: Write the proportion equation
   81,742 : 109,850 = 109,850 : x
2. Step 2: Convert to fraction form
   81,742/109,850 = 109,850/x
3. Step 3: Cross multiply
   81,742x = 109,850 × 109,850
4. Step 4: Simplify right side
   81,742x = 12,067,022,500
5. Step 5: Solve for x
   x = 12,067,022,500/81,742
6. Step 6: Final answer
   x = 147,623.28