Finding the Third Proportional to 126,978 and 273,066

Step by Step Solution

1. Step 1: Write the proportion equation
   126,978 : 273,066 = 273,066 : x
2. Step 2: Convert to fraction form
   126,978/273,066 = 273,066/x
3. Step 3: Cross multiply
   126,978x = 273,066 × 273,066
4. Step 4: Simplify right side
   126,978x = 74,565,040,356
5. Step 5: Solve for x
   x = 74,565,040,356/126,978
6. Step 6: Final answer
   x = 587,228.03