Finding the Third Proportional to 247,914 and 509,012

Step by Step Solution

1. Step 1: Write the proportion equation
   247,914 : 509,012 = 509,012 : x
2. Step 2: Convert to fraction form
   247,914/509,012 = 509,012/x
3. Step 3: Cross multiply
   247,914x = 509,012 × 509,012
4. Step 4: Simplify right side
   247,914x = 259,093,216,144
5. Step 5: Solve for x
   x = 259,093,216,144/247,914
6. Step 6: Final answer
   x = 1,045,093.12