Finding the Third Proportional to 111,571.50 and 169,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,571.50 : 169,974.50 = 169,974.50 : x
2. Step 2: Convert to fraction form
   111,571.50/169,974.50 = 169,974.50/x
3. Step 3: Cross multiply
   111,571.50x = 169,974.50 × 169,974.50
4. Step 4: Simplify right side
   111,571.50x = 28,891,330,650.25
5. Step 5: Solve for x
   x = 28,891,330,650.25/111,571.50
6. Step 6: Final answer
   x = 258,949.02