Finding the Third Proportional to 190,876 and 280,470

Step by Step Solution

1. Step 1: Write the proportion equation
   190,876 : 280,470 = 280,470 : x
2. Step 2: Convert to fraction form
   190,876/280,470 = 280,470/x
3. Step 3: Cross multiply
   190,876x = 280,470 × 280,470
4. Step 4: Simplify right side
   190,876x = 78,663,420,900
5. Step 5: Solve for x
   x = 78,663,420,900/190,876
6. Step 6: Final answer
   x = 412,117.92