Finding the Third Proportional to 111,782 and 169,116

Step by Step Solution

1. Step 1: Write the proportion equation
   111,782 : 169,116 = 169,116 : x
2. Step 2: Convert to fraction form
   111,782/169,116 = 169,116/x
3. Step 3: Cross multiply
   111,782x = 169,116 × 169,116
4. Step 4: Simplify right side
   111,782x = 28,600,221,456
5. Step 5: Solve for x
   x = 28,600,221,456/111,782
6. Step 6: Final answer
   x = 255,857.13