Finding the Third Proportional to 250,293 and 509,280

Step by Step Solution

1. Step 1: Write the proportion equation
   250,293 : 509,280 = 509,280 : x
2. Step 2: Convert to fraction form
   250,293/509,280 = 509,280/x
3. Step 3: Cross multiply
   250,293x = 509,280 × 509,280
4. Step 4: Simplify right side
   250,293x = 259,366,118,400
5. Step 5: Solve for x
   x = 259,366,118,400/250,293
6. Step 6: Final answer
   x = 1,036,249.99