Finding the Third Proportional to 140,719 and 287,180

Step by Step Solution

1. Step 1: Write the proportion equation
   140,719 : 287,180 = 287,180 : x
2. Step 2: Convert to fraction form
   140,719/287,180 = 287,180/x
3. Step 3: Cross multiply
   140,719x = 287,180 × 287,180
4. Step 4: Simplify right side
   140,719x = 82,472,352,400
5. Step 5: Solve for x
   x = 82,472,352,400/140,719
6. Step 6: Final answer
   x = 586,078.30