Finding the Third Proportional to 140,713 and 287,156

Step by Step Solution

1. Step 1: Write the proportion equation
   140,713 : 287,156 = 287,156 : x
2. Step 2: Convert to fraction form
   140,713/287,156 = 287,156/x
3. Step 3: Cross multiply
   140,713x = 287,156 × 287,156
4. Step 4: Simplify right side
   140,713x = 82,458,568,336
5. Step 5: Solve for x
   x = 82,458,568,336/140,713
6. Step 6: Final answer
   x = 586,005.33