Finding the Third Proportional to 185,820 and 280,470

Step by Step Solution

1. Step 1: Write the proportion equation
   185,820 : 280,470 = 280,470 : x
2. Step 2: Convert to fraction form
   185,820/280,470 = 280,470/x
3. Step 3: Cross multiply
   185,820x = 280,470 × 280,470
4. Step 4: Simplify right side
   185,820x = 78,663,420,900
5. Step 5: Solve for x
   x = 78,663,420,900/185,820
6. Step 6: Final answer
   x = 423,331.29