Finding the Third Proportional to 309,895 and 478,856

Step by Step Solution

1. Step 1: Write the proportion equation
   309,895 : 478,856 = 478,856 : x
2. Step 2: Convert to fraction form
   309,895/478,856 = 478,856/x
3. Step 3: Cross multiply
   309,895x = 478,856 × 478,856
4. Step 4: Simplify right side
   309,895x = 229,303,068,736
5. Step 5: Solve for x
   x = 229,303,068,736/309,895
6. Step 6: Final answer
   x = 739,937.94