Finding the Third Proportional to 126,078 and 269,996

Step by Step Solution

1. Step 1: Write the proportion equation
   126,078 : 269,996 = 269,996 : x
2. Step 2: Convert to fraction form
   126,078/269,996 = 269,996/x
3. Step 3: Cross multiply
   126,078x = 269,996 × 269,996
4. Step 4: Simplify right side
   126,078x = 72,897,840,016
5. Step 5: Solve for x
   x = 72,897,840,016/126,078
6. Step 6: Final answer
   x = 578,196.35