Finding the Third Proportional to 184,096 and 394,406

Step by Step Solution

1. Step 1: Write the proportion equation
   184,096 : 394,406 = 394,406 : x
2. Step 2: Convert to fraction form
   184,096/394,406 = 394,406/x
3. Step 3: Cross multiply
   184,096x = 394,406 × 394,406
4. Step 4: Simplify right side
   184,096x = 155,556,092,836
5. Step 5: Solve for x
   x = 155,556,092,836/184,096
6. Step 6: Final answer
   x = 844,972.69