Finding the Third Proportional to 287,800 and 435,714

Step by Step Solution

1. Step 1: Write the proportion equation
   287,800 : 435,714 = 435,714 : x
2. Step 2: Convert to fraction form
   287,800/435,714 = 435,714/x
3. Step 3: Cross multiply
   287,800x = 435,714 × 435,714
4. Step 4: Simplify right side
   287,800x = 189,846,689,796
5. Step 5: Solve for x
   x = 189,846,689,796/287,800
6. Step 6: Final answer
   x = 659,647.98