Finding the Third Proportional to 111,546 and 169,932.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111,546 : 169,932.38 = 169,932.38 : x
2. Step 2: Convert to fraction form
   111,546/169,932.38 = 169,932.38/x
3. Step 3: Cross multiply
   111,546x = 169,932.38 × 169,932.38
4. Step 4: Simplify right side
   111,546x = 28,877,012,073.14
5. Step 5: Solve for x
   x = 28,877,012,073.14/111,546
6. Step 6: Final answer
   x = 258,879.85