Finding the Third Proportional to 126,834 and 274,802

Step by Step Solution

1. Step 1: Write the proportion equation
   126,834 : 274,802 = 274,802 : x
2. Step 2: Convert to fraction form
   126,834/274,802 = 274,802/x
3. Step 3: Cross multiply
   126,834x = 274,802 × 274,802
4. Step 4: Simplify right side
   126,834x = 75,516,139,204
5. Step 5: Solve for x
   x = 75,516,139,204/126,834
6. Step 6: Final answer
   x = 595,393.50