Finding the Third Proportional to 111,771 and 169,100

Step by Step Solution

1. Step 1: Write the proportion equation
   111,771 : 169,100 = 169,100 : x
2. Step 2: Convert to fraction form
   111,771/169,100 = 169,100/x
3. Step 3: Cross multiply
   111,771x = 169,100 × 169,100
4. Step 4: Simplify right side
   111,771x = 28,594,810,000
5. Step 5: Solve for x
   x = 28,594,810,000/111,771
6. Step 6: Final answer
   x = 255,833.89