Finding the Third Proportional to 111,022 and 169,314

Step by Step Solution

1. Step 1: Write the proportion equation
   111,022 : 169,314 = 169,314 : x
2. Step 2: Convert to fraction form
   111,022/169,314 = 169,314/x
3. Step 3: Cross multiply
   111,022x = 169,314 × 169,314
4. Step 4: Simplify right side
   111,022x = 28,667,230,596
5. Step 5: Solve for x
   x = 28,667,230,596/111,022
6. Step 6: Final answer
   x = 258,212.16