Finding the Third Proportional to 111,777 and 169,109

Step by Step Solution

1. Step 1: Write the proportion equation
   111,777 : 169,109 = 169,109 : x
2. Step 2: Convert to fraction form
   111,777/169,109 = 169,109/x
3. Step 3: Cross multiply
   111,777x = 169,109 × 169,109
4. Step 4: Simplify right side
   111,777x = 28,597,853,881
5. Step 5: Solve for x
   x = 28,597,853,881/111,777
6. Step 6: Final answer
   x = 255,847.39