Finding the Third Proportional to 185,495 and 404,204

Step by Step Solution

1. Step 1: Write the proportion equation
   185,495 : 404,204 = 404,204 : x
2. Step 2: Convert to fraction form
   185,495/404,204 = 404,204/x
3. Step 3: Cross multiply
   185,495x = 404,204 × 404,204
4. Step 4: Simplify right side
   185,495x = 163,380,873,616
5. Step 5: Solve for x
   x = 163,380,873,616/185,495
6. Step 6: Final answer
   x = 880,783.17