Finding the Third Proportional to 140,734 and 287,200

Step by Step Solution

1. Step 1: Write the proportion equation
   140,734 : 287,200 = 287,200 : x
2. Step 2: Convert to fraction form
   140,734/287,200 = 287,200/x
3. Step 3: Cross multiply
   140,734x = 287,200 × 287,200
4. Step 4: Simplify right side
   140,734x = 82,483,840,000
5. Step 5: Solve for x
   x = 82,483,840,000/140,734
6. Step 6: Final answer
   x = 586,097.46