Finding the Third Proportional to 186,747 and 280,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,747 : 280,255.50 = 280,255.50 : x
2. Step 2: Convert to fraction form
   186,747/280,255.50 = 280,255.50/x
3. Step 3: Cross multiply
   186,747x = 280,255.50 × 280,255.50
4. Step 4: Simplify right side
   186,747x = 78,543,145,280.25
5. Step 5: Solve for x
   x = 78,543,145,280.25/186,747
6. Step 6: Final answer
   x = 420,585.85