Finding the Third Proportional to 267,709.50 and 394,164

Step by Step Solution

1. Step 1: Write the proportion equation
   267,709.50 : 394,164 = 394,164 : x
2. Step 2: Convert to fraction form
   267,709.50/394,164 = 394,164/x
3. Step 3: Cross multiply
   267,709.50x = 394,164 × 394,164
4. Step 4: Simplify right side
   267,709.50x = 155,365,258,896
5. Step 5: Solve for x
   x = 155,365,258,896/267,709.50
6. Step 6: Final answer
   x = 580,350.19