Finding the Third Proportional to 111,786 and 169,123

Step by Step Solution

1. Step 1: Write the proportion equation
   111,786 : 169,123 = 169,123 : x
2. Step 2: Convert to fraction form
   111,786/169,123 = 169,123/x
3. Step 3: Cross multiply
   111,786x = 169,123 × 169,123
4. Step 4: Simplify right side
   111,786x = 28,602,589,129
5. Step 5: Solve for x
   x = 28,602,589,129/111,786
6. Step 6: Final answer
   x = 255,869.15