Finding the Third Proportional to 280,494 and 435,132

Step by Step Solution

1. Step 1: Write the proportion equation
   280,494 : 435,132 = 435,132 : x
2. Step 2: Convert to fraction form
   280,494/435,132 = 435,132/x
3. Step 3: Cross multiply
   280,494x = 435,132 × 435,132
4. Step 4: Simplify right side
   280,494x = 189,339,857,424
5. Step 5: Solve for x
   x = 189,339,857,424/280,494
6. Step 6: Final answer
   x = 675,022.84