Finding the Third Proportional to 111,458 and 169,320

Step by Step Solution

1. Step 1: Write the proportion equation
   111,458 : 169,320 = 169,320 : x
2. Step 2: Convert to fraction form
   111,458/169,320 = 169,320/x
3. Step 3: Cross multiply
   111,458x = 169,320 × 169,320
4. Step 4: Simplify right side
   111,458x = 28,669,262,400
5. Step 5: Solve for x
   x = 28,669,262,400/111,458
6. Step 6: Final answer
   x = 257,220.32