Finding the Third Proportional to 190,684 and 280,290

Step by Step Solution

1. Step 1: Write the proportion equation
   190,684 : 280,290 = 280,290 : x
2. Step 2: Convert to fraction form
   190,684/280,290 = 280,290/x
3. Step 3: Cross multiply
   190,684x = 280,290 × 280,290
4. Step 4: Simplify right side
   190,684x = 78,562,484,100
5. Step 5: Solve for x
   x = 78,562,484,100/190,684
6. Step 6: Final answer
   x = 412,003.55