Finding the Third Proportional to 81,743 and 109,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,743 : 109,849.50 = 109,849.50 : x
2. Step 2: Convert to fraction form
   81,743/109,849.50 = 109,849.50/x
3. Step 3: Cross multiply
   81,743x = 109,849.50 × 109,849.50
4. Step 4: Simplify right side
   81,743x = 12,066,912,650.25
5. Step 5: Solve for x
   x = 12,066,912,650.25/81,743
6. Step 6: Final answer
   x = 147,620.13