Finding the Third Proportional to 309,374 and 492,280

Step by Step Solution

1. Step 1: Write the proportion equation
   309,374 : 492,280 = 492,280 : x
2. Step 2: Convert to fraction form
   309,374/492,280 = 492,280/x
3. Step 3: Cross multiply
   309,374x = 492,280 × 492,280
4. Step 4: Simplify right side
   309,374x = 242,339,598,400
5. Step 5: Solve for x
   x = 242,339,598,400/309,374
6. Step 6: Final answer
   x = 783,322.45