Finding the Third Proportional to 309,944 and 478,932

Step by Step Solution

1. Step 1: Write the proportion equation
   309,944 : 478,932 = 478,932 : x
2. Step 2: Convert to fraction form
   309,944/478,932 = 478,932/x
3. Step 3: Cross multiply
   309,944x = 478,932 × 478,932
4. Step 4: Simplify right side
   309,944x = 229,375,860,624
5. Step 5: Solve for x
   x = 229,375,860,624/309,944
6. Step 6: Final answer
   x = 740,055.82