Finding the Third Proportional to 111,985 and 169,754

Step by Step Solution

1. Step 1: Write the proportion equation
   111,985 : 169,754 = 169,754 : x
2. Step 2: Convert to fraction form
   111,985/169,754 = 169,754/x
3. Step 3: Cross multiply
   111,985x = 169,754 × 169,754
4. Step 4: Simplify right side
   111,985x = 28,816,420,516
5. Step 5: Solve for x
   x = 28,816,420,516/111,985
6. Step 6: Final answer
   x = 257,323.93