Finding the Third Proportional to 55,565.75 and 120,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,565.75 : 120,016.50 = 120,016.50 : x
2. Step 2: Convert to fraction form
   55,565.75/120,016.50 = 120,016.50/x
3. Step 3: Cross multiply
   55,565.75x = 120,016.50 × 120,016.50
4. Step 4: Simplify right side
   55,565.75x = 14,403,960,272.25
5. Step 5: Solve for x
   x = 14,403,960,272.25/55,565.75
6. Step 6: Final answer
   x = 259,223.72