Finding the Third Proportional to 111,557 and 169,950

Step by Step Solution

1. Step 1: Write the proportion equation
   111,557 : 169,950 = 169,950 : x
2. Step 2: Convert to fraction form
   111,557/169,950 = 169,950/x
3. Step 3: Cross multiply
   111,557x = 169,950 × 169,950
4. Step 4: Simplify right side
   111,557x = 28,883,002,500
5. Step 5: Solve for x
   x = 28,883,002,500/111,557
6. Step 6: Final answer
   x = 258,908.02