Finding the Third Proportional to 339,054 and 414,870

Step by Step Solution

1. Step 1: Write the proportion equation
   339,054 : 414,870 = 414,870 : x
2. Step 2: Convert to fraction form
   339,054/414,870 = 414,870/x
3. Step 3: Cross multiply
   339,054x = 414,870 × 414,870
4. Step 4: Simplify right side
   339,054x = 172,117,116,900
5. Step 5: Solve for x
   x = 172,117,116,900/339,054
6. Step 6: Final answer
   x = 507,639.25