Finding the Third Proportional to 175,704 and 414,570

Step by Step Solution

1. Step 1: Write the proportion equation
   175,704 : 414,570 = 414,570 : x
2. Step 2: Convert to fraction form
   175,704/414,570 = 414,570/x
3. Step 3: Cross multiply
   175,704x = 414,570 × 414,570
4. Step 4: Simplify right side
   175,704x = 171,868,284,900
5. Step 5: Solve for x
   x = 171,868,284,900/175,704
6. Step 6: Final answer
   x = 978,169.45