Finding the Third Proportional to 126,570 and 278,404

Step by Step Solution

1. Step 1: Write the proportion equation
   126,570 : 278,404 = 278,404 : x
2. Step 2: Convert to fraction form
   126,570/278,404 = 278,404/x
3. Step 3: Cross multiply
   126,570x = 278,404 × 278,404
4. Step 4: Simplify right side
   126,570x = 77,508,787,216
5. Step 5: Solve for x
   x = 77,508,787,216/126,570
6. Step 6: Final answer
   x = 612,378.82