Finding the Third Proportional to 140,756 and 287,234

Step by Step Solution

1. Step 1: Write the proportion equation
   140,756 : 287,234 = 287,234 : x
2. Step 2: Convert to fraction form
   140,756/287,234 = 287,234/x
3. Step 3: Cross multiply
   140,756x = 287,234 × 287,234
4. Step 4: Simplify right side
   140,756x = 82,503,370,756
5. Step 5: Solve for x
   x = 82,503,370,756/140,756
6. Step 6: Final answer
   x = 586,144.61