Finding the Third Proportional to 140,737.50 and 287,203.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,737.50 : 287,203.50 = 287,203.50 : x
2. Step 2: Convert to fraction form
   140,737.50/287,203.50 = 287,203.50/x
3. Step 3: Cross multiply
   140,737.50x = 287,203.50 × 287,203.50
4. Step 4: Simplify right side
   140,737.50x = 82,485,850,412.25
5. Step 5: Solve for x
   x = 82,485,850,412.25/140,737.50
6. Step 6: Final answer
   x = 586,097.17