Finding the Third Proportional to 55,744 and 120,196

Step by Step Solution

1. Step 1: Write the proportion equation
   55,744 : 120,196 = 120,196 : x
2. Step 2: Convert to fraction form
   55,744/120,196 = 120,196/x
3. Step 3: Cross multiply
   55,744x = 120,196 × 120,196
4. Step 4: Simplify right side
   55,744x = 14,447,078,416
5. Step 5: Solve for x
   x = 14,447,078,416/55,744
6. Step 6: Final answer
   x = 259,168.31