Finding the Third Proportional to 338,022 and 505,980

Step by Step Solution

1. Step 1: Write the proportion equation
   338,022 : 505,980 = 505,980 : x
2. Step 2: Convert to fraction form
   338,022/505,980 = 505,980/x
3. Step 3: Cross multiply
   338,022x = 505,980 × 505,980
4. Step 4: Simplify right side
   338,022x = 256,015,760,400
5. Step 5: Solve for x
   x = 256,015,760,400/338,022
6. Step 6: Final answer
   x = 757,393.78