Finding the Third Proportional to 309,888 and 478,846

Step by Step Solution

1. Step 1: Write the proportion equation
   309,888 : 478,846 = 478,846 : x
2. Step 2: Convert to fraction form
   309,888/478,846 = 478,846/x
3. Step 3: Cross multiply
   309,888x = 478,846 × 478,846
4. Step 4: Simplify right side
   309,888x = 229,293,491,716
5. Step 5: Solve for x
   x = 229,293,491,716/309,888
6. Step 6: Final answer
   x = 739,923.75