Finding the Third Proportional to 211,976 and 460,944

Step by Step Solution

1. Step 1: Write the proportion equation
   211,976 : 460,944 = 460,944 : x
2. Step 2: Convert to fraction form
   211,976/460,944 = 460,944/x
3. Step 3: Cross multiply
   211,976x = 460,944 × 460,944
4. Step 4: Simplify right side
   211,976x = 212,469,371,136
5. Step 5: Solve for x
   x = 212,469,371,136/211,976
6. Step 6: Final answer
   x = 1,002,327.49