Finding the Third Proportional to 55,843.50 and 120,435

Step by Step Solution

1. Step 1: Write the proportion equation
   55,843.50 : 120,435 = 120,435 : x
2. Step 2: Convert to fraction form
   55,843.50/120,435 = 120,435/x
3. Step 3: Cross multiply
   55,843.50x = 120,435 × 120,435
4. Step 4: Simplify right side
   55,843.50x = 14,504,589,225
5. Step 5: Solve for x
   x = 14,504,589,225/55,843.50
6. Step 6: Final answer
   x = 259,736.39