Finding the Third Proportional to 205,641 and 280,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,641 : 280,150.50 = 280,150.50 : x
2. Step 2: Convert to fraction form
   205,641/280,150.50 = 280,150.50/x
3. Step 3: Cross multiply
   205,641x = 280,150.50 × 280,150.50
4. Step 4: Simplify right side
   205,641x = 78,484,302,650.25
5. Step 5: Solve for x
   x = 78,484,302,650.25/205,641
6. Step 6: Final answer
   x = 381,656.88