Finding the Third Proportional to 325,830 and 501,399

Step by Step Solution

1. Step 1: Write the proportion equation
   325,830 : 501,399 = 501,399 : x
2. Step 2: Convert to fraction form
   325,830/501,399 = 501,399/x
3. Step 3: Cross multiply
   325,830x = 501,399 × 501,399
4. Step 4: Simplify right side
   325,830x = 251,400,957,201
5. Step 5: Solve for x
   x = 251,400,957,201/325,830
6. Step 6: Final answer
   x = 771,570.93