Finding the Third Proportional to 250,012 and 509,308

Step by Step Solution

1. Step 1: Write the proportion equation
   250,012 : 509,308 = 509,308 : x
2. Step 2: Convert to fraction form
   250,012/509,308 = 509,308/x
3. Step 3: Cross multiply
   250,012x = 509,308 × 509,308
4. Step 4: Simplify right side
   250,012x = 259,394,638,864
5. Step 5: Solve for x
   x = 259,394,638,864/250,012
6. Step 6: Final answer
   x = 1,037,528.75