Finding the Third Proportional to 284,868 and 614,016

Step by Step Solution

1. Step 1: Write the proportion equation
   284,868 : 614,016 = 614,016 : x
2. Step 2: Convert to fraction form
   284,868/614,016 = 614,016/x
3. Step 3: Cross multiply
   284,868x = 614,016 × 614,016
4. Step 4: Simplify right side
   284,868x = 377,015,648,256
5. Step 5: Solve for x
   x = 377,015,648,256/284,868
6. Step 6: Final answer
   x = 1,323,474.90