Finding the Third Proportional to 339,968 and 500,055

Step by Step Solution

1. Step 1: Write the proportion equation
   339,968 : 500,055 = 500,055 : x
2. Step 2: Convert to fraction form
   339,968/500,055 = 500,055/x
3. Step 3: Cross multiply
   339,968x = 500,055 × 500,055
4. Step 4: Simplify right side
   339,968x = 250,055,003,025
5. Step 5: Solve for x
   x = 250,055,003,025/339,968
6. Step 6: Final answer
   x = 735,525.12