Finding the Third Proportional to 309,636 and 478,548

Step by Step Solution

1. Step 1: Write the proportion equation
   309,636 : 478,548 = 478,548 : x
2. Step 2: Convert to fraction form
   309,636/478,548 = 478,548/x
3. Step 3: Cross multiply
   309,636x = 478,548 × 478,548
4. Step 4: Simplify right side
   309,636x = 229,008,188,304
5. Step 5: Solve for x
   x = 229,008,188,304/309,636
6. Step 6: Final answer
   x = 739,604.53