Finding the Third Proportional to 309,942 and 478,731.38

Step by Step Solution

1. Step 1: Write the proportion equation
   309,942 : 478,731.38 = 478,731.38 : x
2. Step 2: Convert to fraction form
   309,942/478,731.38 = 478,731.38/x
3. Step 3: Cross multiply
   309,942x = 478,731.38 × 478,731.38
4. Step 4: Simplify right side
   309,942x = 229,183,729,409.39
5. Step 5: Solve for x
   x = 229,183,729,409.39/309,942
6. Step 6: Final answer
   x = 739,440.70