Finding the Third Proportional to 111,558.50 and 169,952

Step by Step Solution

1. Step 1: Write the proportion equation
   111,558.50 : 169,952 = 169,952 : x
2. Step 2: Convert to fraction form
   111,558.50/169,952 = 169,952/x
3. Step 3: Cross multiply
   111,558.50x = 169,952 × 169,952
4. Step 4: Simplify right side
   111,558.50x = 28,883,682,304
5. Step 5: Solve for x
   x = 28,883,682,304/111,558.50
6. Step 6: Final answer
   x = 258,910.64