Finding the Third Proportional to 186,684 and 280,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,684 : 280,213.50 = 280,213.50 : x
2. Step 2: Convert to fraction form
   186,684/280,213.50 = 280,213.50/x
3. Step 3: Cross multiply
   186,684x = 280,213.50 × 280,213.50
4. Step 4: Simplify right side
   186,684x = 78,519,605,582.25
5. Step 5: Solve for x
   x = 78,519,605,582.25/186,684
6. Step 6: Final answer
   x = 420,601.69