Finding the Third Proportional to 289,912 and 443,514

Step by Step Solution

1. Step 1: Write the proportion equation
   289,912 : 443,514 = 443,514 : x
2. Step 2: Convert to fraction form
   289,912/443,514 = 443,514/x
3. Step 3: Cross multiply
   289,912x = 443,514 × 443,514
4. Step 4: Simplify right side
   289,912x = 196,704,668,196
5. Step 5: Solve for x
   x = 196,704,668,196/289,912
6. Step 6: Final answer
   x = 678,497.85