Finding the Third Proportional to 126,009 and 274,162

Step by Step Solution

1. Step 1: Write the proportion equation
   126,009 : 274,162 = 274,162 : x
2. Step 2: Convert to fraction form
   126,009/274,162 = 274,162/x
3. Step 3: Cross multiply
   126,009x = 274,162 × 274,162
4. Step 4: Simplify right side
   126,009x = 75,164,802,244
5. Step 5: Solve for x
   x = 75,164,802,244/126,009
6. Step 6: Final answer
   x = 596,503.44