Finding the Third Proportional to 189,996 and 401,448

Step by Step Solution

1. Step 1: Write the proportion equation
   189,996 : 401,448 = 401,448 : x
2. Step 2: Convert to fraction form
   189,996/401,448 = 401,448/x
3. Step 3: Cross multiply
   189,996x = 401,448 × 401,448
4. Step 4: Simplify right side
   189,996x = 161,160,496,704
5. Step 5: Solve for x
   x = 161,160,496,704/189,996
6. Step 6: Final answer
   x = 848,231.00