Finding the Third Proportional to 309,392 and 492,308

Step by Step Solution

1. Step 1: Write the proportion equation
   309,392 : 492,308 = 492,308 : x
2. Step 2: Convert to fraction form
   309,392/492,308 = 492,308/x
3. Step 3: Cross multiply
   309,392x = 492,308 × 492,308
4. Step 4: Simplify right side
   309,392x = 242,367,166,864
5. Step 5: Solve for x
   x = 242,367,166,864/309,392
6. Step 6: Final answer
   x = 783,365.98