Finding the Third Proportional to 111,576 and 169,974

Step by Step Solution

1. Step 1: Write the proportion equation
   111,576 : 169,974 = 169,974 : x
2. Step 2: Convert to fraction form
   111,576/169,974 = 169,974/x
3. Step 3: Cross multiply
   111,576x = 169,974 × 169,974
4. Step 4: Simplify right side
   111,576x = 28,891,160,676
5. Step 5: Solve for x
   x = 28,891,160,676/111,576
6. Step 6: Final answer
   x = 258,937.05