Finding the Third Proportional to 140,727.38 and 287,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,727.38 : 287,185.50 = 287,185.50 : x
2. Step 2: Convert to fraction form
   140,727.38/287,185.50 = 287,185.50/x
3. Step 3: Cross multiply
   140,727.38x = 287,185.50 × 287,185.50
4. Step 4: Simplify right side
   140,727.38x = 82,475,511,410.25
5. Step 5: Solve for x
   x = 82,475,511,410.25/140,727.38
6. Step 6: Final answer
   x = 586,065.87