Finding the Third Proportional to 339,086 and 513,003

Step by Step Solution

1. Step 1: Write the proportion equation
   339,086 : 513,003 = 513,003 : x
2. Step 2: Convert to fraction form
   339,086/513,003 = 513,003/x
3. Step 3: Cross multiply
   339,086x = 513,003 × 513,003
4. Step 4: Simplify right side
   339,086x = 263,172,078,009
5. Step 5: Solve for x
   x = 263,172,078,009/339,086
6. Step 6: Final answer
   x = 776,121.92