Finding the Third Proportional to 111,862 and 169,423

Step by Step Solution

1. Step 1: Write the proportion equation
   111,862 : 169,423 = 169,423 : x
2. Step 2: Convert to fraction form
   111,862/169,423 = 169,423/x
3. Step 3: Cross multiply
   111,862x = 169,423 × 169,423
4. Step 4: Simplify right side
   111,862x = 28,704,152,929
5. Step 5: Solve for x
   x = 28,704,152,929/111,862
6. Step 6: Final answer
   x = 256,603.25