Finding the Third Proportional to 320,589 and 498,384

Step by Step Solution

1. Step 1: Write the proportion equation
   320,589 : 498,384 = 498,384 : x
2. Step 2: Convert to fraction form
   320,589/498,384 = 498,384/x
3. Step 3: Cross multiply
   320,589x = 498,384 × 498,384
4. Step 4: Simplify right side
   320,589x = 248,386,611,456
5. Step 5: Solve for x
   x = 248,386,611,456/320,589
6. Step 6: Final answer
   x = 774,782.08