Finding the Third Proportional to 186,641 and 404,386

Step by Step Solution

1. Step 1: Write the proportion equation
   186,641 : 404,386 = 404,386 : x
2. Step 2: Convert to fraction form
   186,641/404,386 = 404,386/x
3. Step 3: Cross multiply
   186,641x = 404,386 × 404,386
4. Step 4: Simplify right side
   186,641x = 163,528,036,996
5. Step 5: Solve for x
   x = 163,528,036,996/186,641
6. Step 6: Final answer
   x = 876,163.53