Finding the Third Proportional to 185,836 and 280,494

Step by Step Solution

1. Step 1: Write the proportion equation
   185,836 : 280,494 = 280,494 : x
2. Step 2: Convert to fraction form
   185,836/280,494 = 280,494/x
3. Step 3: Cross multiply
   185,836x = 280,494 × 280,494
4. Step 4: Simplify right side
   185,836x = 78,676,884,036
5. Step 5: Solve for x
   x = 78,676,884,036/185,836
6. Step 6: Final answer
   x = 423,367.29