Finding the Third Proportional to 309,996 and 478,822

Step by Step Solution

1. Step 1: Write the proportion equation
   309,996 : 478,822 = 478,822 : x
2. Step 2: Convert to fraction form
   309,996/478,822 = 478,822/x
3. Step 3: Cross multiply
   309,996x = 478,822 × 478,822
4. Step 4: Simplify right side
   309,996x = 229,270,507,684
5. Step 5: Solve for x
   x = 229,270,507,684/309,996
6. Step 6: Final answer
   x = 739,591.83