Finding the Third Proportional to 384,293 and 613,914

Step by Step Solution

1. Step 1: Write the proportion equation
   384,293 : 613,914 = 613,914 : x
2. Step 2: Convert to fraction form
   384,293/613,914 = 613,914/x
3. Step 3: Cross multiply
   384,293x = 613,914 × 613,914
4. Step 4: Simplify right side
   384,293x = 376,890,399,396
5. Step 5: Solve for x
   x = 376,890,399,396/384,293
6. Step 6: Final answer
   x = 980,737.09