Finding the Third Proportional to 384,284 and 613,902

Step by Step Solution

1. Step 1: Write the proportion equation
   384,284 : 613,902 = 613,902 : x
2. Step 2: Convert to fraction form
   384,284/613,902 = 613,902/x
3. Step 3: Cross multiply
   384,284x = 613,902 × 613,902
4. Step 4: Simplify right side
   384,284x = 376,875,665,604
5. Step 5: Solve for x
   x = 376,875,665,604/384,284
6. Step 6: Final answer
   x = 980,721.72