Finding the Third Proportional to 111,564 and 169,960

Step by Step Solution

1. Step 1: Write the proportion equation
   111,564 : 169,960 = 169,960 : x
2. Step 2: Convert to fraction form
   111,564/169,960 = 169,960/x
3. Step 3: Cross multiply
   111,564x = 169,960 × 169,960
4. Step 4: Simplify right side
   111,564x = 28,886,401,600
5. Step 5: Solve for x
   x = 28,886,401,600/111,564
6. Step 6: Final answer
   x = 258,922.25