Finding the Third Proportional to 186,680 and 401,049

Step by Step Solution

1. Step 1: Write the proportion equation
   186,680 : 401,049 = 401,049 : x
2. Step 2: Convert to fraction form
   186,680/401,049 = 401,049/x
3. Step 3: Cross multiply
   186,680x = 401,049 × 401,049
4. Step 4: Simplify right side
   186,680x = 160,840,300,401
5. Step 5: Solve for x
   x = 160,840,300,401/186,680
6. Step 6: Final answer
   x = 861,582.92