Finding the Third Proportional to 309,386 and 492,298

Step by Step Solution

1. Step 1: Write the proportion equation
   309,386 : 492,298 = 492,298 : x
2. Step 2: Convert to fraction form
   309,386/492,298 = 492,298/x
3. Step 3: Cross multiply
   309,386x = 492,298 × 492,298
4. Step 4: Simplify right side
   309,386x = 242,357,320,804
5. Step 5: Solve for x
   x = 242,357,320,804/309,386
6. Step 6: Final answer
   x = 783,349.35