Finding the Third Proportional to 188,960 and 414,780

Step by Step Solution

1. Step 1: Write the proportion equation
   188,960 : 414,780 = 414,780 : x
2. Step 2: Convert to fraction form
   188,960/414,780 = 414,780/x
3. Step 3: Cross multiply
   188,960x = 414,780 × 414,780
4. Step 4: Simplify right side
   188,960x = 172,042,448,400
5. Step 5: Solve for x
   x = 172,042,448,400/188,960
6. Step 6: Final answer
   x = 910,470.20