Finding the Third Proportional to 363,757 and 550,665

Step by Step Solution

1. Step 1: Write the proportion equation
   363,757 : 550,665 = 550,665 : x
2. Step 2: Convert to fraction form
   363,757/550,665 = 550,665/x
3. Step 3: Cross multiply
   363,757x = 550,665 × 550,665
4. Step 4: Simplify right side
   363,757x = 303,231,942,225
5. Step 5: Solve for x
   x = 303,231,942,225/363,757
6. Step 6: Final answer
   x = 833,611.29