Finding the Third Proportional to 278,834 and 443,176

Step by Step Solution

1. Step 1: Write the proportion equation
   278,834 : 443,176 = 443,176 : x
2. Step 2: Convert to fraction form
   278,834/443,176 = 443,176/x
3. Step 3: Cross multiply
   278,834x = 443,176 × 443,176
4. Step 4: Simplify right side
   278,834x = 196,404,966,976
5. Step 5: Solve for x
   x = 196,404,966,976/278,834
6. Step 6: Final answer
   x = 704,379.55