Finding the Third Proportional to 309,711.50 and 489,496

Step by Step Solution

1. Step 1: Write the proportion equation
   309,711.50 : 489,496 = 489,496 : x
2. Step 2: Convert to fraction form
   309,711.50/489,496 = 489,496/x
3. Step 3: Cross multiply
   309,711.50x = 489,496 × 489,496
4. Step 4: Simplify right side
   309,711.50x = 239,606,334,016
5. Step 5: Solve for x
   x = 239,606,334,016/309,711.50
6. Step 6: Final answer
   x = 773,643.65