Finding the Third Proportional to 309,883 and 478,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,883 : 478,837.50 = 478,837.50 : x
2. Step 2: Convert to fraction form
   309,883/478,837.50 = 478,837.50/x
3. Step 3: Cross multiply
   309,883x = 478,837.50 × 478,837.50
4. Step 4: Simplify right side
   309,883x = 229,285,351,406.25
5. Step 5: Solve for x
   x = 229,285,351,406.25/309,883
6. Step 6: Final answer
   x = 739,909.42