Finding the Third Proportional to 309,891 and 478,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,891 : 478,849.50 = 478,849.50 : x
2. Step 2: Convert to fraction form
   309,891/478,849.50 = 478,849.50/x
3. Step 3: Cross multiply
   309,891x = 478,849.50 × 478,849.50
4. Step 4: Simplify right side
   309,891x = 229,296,843,650.25
5. Step 5: Solve for x
   x = 229,296,843,650.25/309,891
6. Step 6: Final answer
   x = 739,927.41