Finding the Third Proportional to 384,320 and 610,694

Step by Step Solution

1. Step 1: Write the proportion equation
   384,320 : 610,694 = 610,694 : x
2. Step 2: Convert to fraction form
   384,320/610,694 = 610,694/x
3. Step 3: Cross multiply
   384,320x = 610,694 × 610,694
4. Step 4: Simplify right side
   384,320x = 372,947,161,636
5. Step 5: Solve for x
   x = 372,947,161,636/384,320
6. Step 6: Final answer
   x = 970,407.89