Finding the Third Proportional to 309,264 and 477,864

Step by Step Solution

1. Step 1: Write the proportion equation
   309,264 : 477,864 = 477,864 : x
2. Step 2: Convert to fraction form
   309,264/477,864 = 477,864/x
3. Step 3: Cross multiply
   309,264x = 477,864 × 477,864
4. Step 4: Simplify right side
   309,264x = 228,354,002,496
5. Step 5: Solve for x
   x = 228,354,002,496/309,264
6. Step 6: Final answer
   x = 738,378.87