Finding the Third Proportional to 186,846 and 404,796

Step by Step Solution

1. Step 1: Write the proportion equation
   186,846 : 404,796 = 404,796 : x
2. Step 2: Convert to fraction form
   186,846/404,796 = 404,796/x
3. Step 3: Cross multiply
   186,846x = 404,796 × 404,796
4. Step 4: Simplify right side
   186,846x = 163,859,801,616
5. Step 5: Solve for x
   x = 163,859,801,616/186,846
6. Step 6: Final answer
   x = 876,977.84