Finding the Third Proportional to 186,644 and 404,392

Step by Step Solution

1. Step 1: Write the proportion equation
   186,644 : 404,392 = 404,392 : x
2. Step 2: Convert to fraction form
   186,644/404,392 = 404,392/x
3. Step 3: Cross multiply
   186,644x = 404,392 × 404,392
4. Step 4: Simplify right side
   186,644x = 163,532,889,664
5. Step 5: Solve for x
   x = 163,532,889,664/186,644
6. Step 6: Final answer
   x = 876,175.44