Finding the Third Proportional to 213,376 and 462,944

Step by Step Solution

1. Step 1: Write the proportion equation
   213,376 : 462,944 = 462,944 : x
2. Step 2: Convert to fraction form
   213,376/462,944 = 462,944/x
3. Step 3: Cross multiply
   213,376x = 462,944 × 462,944
4. Step 4: Simplify right side
   213,376x = 214,317,147,136
5. Step 5: Solve for x
   x = 214,317,147,136/213,376
6. Step 6: Final answer
   x = 1,004,410.75