Finding the Third Proportional to 339,062 and 414,878

Step by Step Solution

1. Step 1: Write the proportion equation
   339,062 : 414,878 = 414,878 : x
2. Step 2: Convert to fraction form
   339,062/414,878 = 414,878/x
3. Step 3: Cross multiply
   339,062x = 414,878 × 414,878
4. Step 4: Simplify right side
   339,062x = 172,123,754,884
5. Step 5: Solve for x
   x = 172,123,754,884/339,062
6. Step 6: Final answer
   x = 507,646.85