Finding the Third Proportional to 280,435 and 435,059

Step by Step Solution

1. Step 1: Write the proportion equation
   280,435 : 435,059 = 435,059 : x
2. Step 2: Convert to fraction form
   280,435/435,059 = 435,059/x
3. Step 3: Cross multiply
   280,435x = 435,059 × 435,059
4. Step 4: Simplify right side
   280,435x = 189,276,333,481
5. Step 5: Solve for x
   x = 189,276,333,481/280,435
6. Step 6: Final answer
   x = 674,938.34