Finding the Third Proportional to 300,996 and 401,463

Step by Step Solution

1. Step 1: Write the proportion equation
   300,996 : 401,463 = 401,463 : x
2. Step 2: Convert to fraction form
   300,996/401,463 = 401,463/x
3. Step 3: Cross multiply
   300,996x = 401,463 × 401,463
4. Step 4: Simplify right side
   300,996x = 161,172,540,369
5. Step 5: Solve for x
   x = 161,172,540,369/300,996
6. Step 6: Final answer
   x = 535,464.06