Finding the Third Proportional to 188,022 and 413,256

Step by Step Solution

1. Step 1: Write the proportion equation
   188,022 : 413,256 = 413,256 : x
2. Step 2: Convert to fraction form
   188,022/413,256 = 413,256/x
3. Step 3: Cross multiply
   188,022x = 413,256 × 413,256
4. Step 4: Simplify right side
   188,022x = 170,780,521,536
5. Step 5: Solve for x
   x = 170,780,521,536/188,022
6. Step 6: Final answer
   x = 908,300.74