Finding the Third Proportional to 55,957 and 120,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,957 : 120,196.50 = 120,196.50 : x
2. Step 2: Convert to fraction form
   55,957/120,196.50 = 120,196.50/x
3. Step 3: Cross multiply
   55,957x = 120,196.50 × 120,196.50
4. Step 4: Simplify right side
   55,957x = 14,447,198,612.25
5. Step 5: Solve for x
   x = 14,447,198,612.25/55,957
6. Step 6: Final answer
   x = 258,183.94