Finding the Third Proportional to 111,565.50 and 169,965

Step by Step Solution

1. Step 1: Write the proportion equation
   111,565.50 : 169,965 = 169,965 : x
2. Step 2: Convert to fraction form
   111,565.50/169,965 = 169,965/x
3. Step 3: Cross multiply
   111,565.50x = 169,965 × 169,965
4. Step 4: Simplify right side
   111,565.50x = 28,888,101,225
5. Step 5: Solve for x
   x = 28,888,101,225/111,565.50
6. Step 6: Final answer
   x = 258,934.00