Finding the Third Proportional to 175,866 and 414,734

Step by Step Solution

1. Step 1: Write the proportion equation
   175,866 : 414,734 = 414,734 : x
2. Step 2: Convert to fraction form
   175,866/414,734 = 414,734/x
3. Step 3: Cross multiply
   175,866x = 414,734 × 414,734
4. Step 4: Simplify right side
   175,866x = 172,004,290,756
5. Step 5: Solve for x
   x = 172,004,290,756/175,866
6. Step 6: Final answer
   x = 978,041.75