Finding the Third Proportional to 185,826 and 404,865

Step by Step Solution

1. Step 1: Write the proportion equation
   185,826 : 404,865 = 404,865 : x
2. Step 2: Convert to fraction form
   185,826/404,865 = 404,865/x
3. Step 3: Cross multiply
   185,826x = 404,865 × 404,865
4. Step 4: Simplify right side
   185,826x = 163,915,668,225
5. Step 5: Solve for x
   x = 163,915,668,225/185,826
6. Step 6: Final answer
   x = 882,092.22