Finding the Third Proportional to 278,648 and 442,834

Step by Step Solution

1. Step 1: Write the proportion equation
   278,648 : 442,834 = 442,834 : x
2. Step 2: Convert to fraction form
   278,648/442,834 = 442,834/x
3. Step 3: Cross multiply
   278,648x = 442,834 × 442,834
4. Step 4: Simplify right side
   278,648x = 196,101,951,556
5. Step 5: Solve for x
   x = 196,101,951,556/278,648
6. Step 6: Final answer
   x = 703,762.28