Finding the Third Proportional to 184,012 and 394,256

Step by Step Solution

1. Step 1: Write the proportion equation
   184,012 : 394,256 = 394,256 : x
2. Step 2: Convert to fraction form
   184,012/394,256 = 394,256/x
3. Step 3: Cross multiply
   184,012x = 394,256 × 394,256
4. Step 4: Simplify right side
   184,012x = 155,437,793,536
5. Step 5: Solve for x
   x = 155,437,793,536/184,012
6. Step 6: Final answer
   x = 844,715.53