Finding the Third Proportional to 249,888 and 509,016

Step by Step Solution

1. Step 1: Write the proportion equation
   249,888 : 509,016 = 509,016 : x
2. Step 2: Convert to fraction form
   249,888/509,016 = 509,016/x
3. Step 3: Cross multiply
   249,888x = 509,016 × 509,016
4. Step 4: Simplify right side
   249,888x = 259,097,288,256
5. Step 5: Solve for x
   x = 259,097,288,256/249,888
6. Step 6: Final answer
   x = 1,036,853.66