Finding the Third Proportional to 284,944 and 405,016

Step by Step Solution

1. Step 1: Write the proportion equation
   284,944 : 405,016 = 405,016 : x
2. Step 2: Convert to fraction form
   284,944/405,016 = 405,016/x
3. Step 3: Cross multiply
   284,944x = 405,016 × 405,016
4. Step 4: Simplify right side
   284,944x = 164,037,960,256
5. Step 5: Solve for x
   x = 164,037,960,256/284,944
6. Step 6: Final answer
   x = 575,684.91