Finding the Third Proportional to 55,565.50 and 120,016.25

Step by Step Solution

1. Step 1: Write the proportion equation
   55,565.50 : 120,016.25 = 120,016.25 : x
2. Step 2: Convert to fraction form
   55,565.50/120,016.25 = 120,016.25/x
3. Step 3: Cross multiply
   55,565.50x = 120,016.25 × 120,016.25
4. Step 4: Simplify right side
   55,565.50x = 14,403,900,264.06
5. Step 5: Solve for x
   x = 14,403,900,264.06/55,565.50
6. Step 6: Final answer
   x = 259,223.80