Finding the Third Proportional to 111,019 and 169,293

Step by Step Solution

1. Step 1: Write the proportion equation
   111,019 : 169,293 = 169,293 : x
2. Step 2: Convert to fraction form
   111,019/169,293 = 169,293/x
3. Step 3: Cross multiply
   111,019x = 169,293 × 169,293
4. Step 4: Simplify right side
   111,019x = 28,660,119,849
5. Step 5: Solve for x
   x = 28,660,119,849/111,019
6. Step 6: Final answer
   x = 258,155.09