Finding the Third Proportional to 111,496.13 and 169,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,496.13 : 169,858.50 = 169,858.50 : x
2. Step 2: Convert to fraction form
   111,496.13/169,858.50 = 169,858.50/x
3. Step 3: Cross multiply
   111,496.13x = 169,858.50 × 169,858.50
4. Step 4: Simplify right side
   111,496.13x = 28,851,910,022.25
5. Step 5: Solve for x
   x = 28,851,910,022.25/111,496.13
6. Step 6: Final answer
   x = 258,770.52