Finding the Third Proportional to 55,196 and 119,996

Step by Step Solution

1. Step 1: Write the proportion equation
   55,196 : 119,996 = 119,996 : x
2. Step 2: Convert to fraction form
   55,196/119,996 = 119,996/x
3. Step 3: Cross multiply
   55,196x = 119,996 × 119,996
4. Step 4: Simplify right side
   55,196x = 14,399,040,016
5. Step 5: Solve for x
   x = 14,399,040,016/55,196
6. Step 6: Final answer
   x = 260,871.08