Finding the Third Proportional to 196,674 and 431,256

Step by Step Solution

1. Step 1: Write the proportion equation
   196,674 : 431,256 = 431,256 : x
2. Step 2: Convert to fraction form
   196,674/431,256 = 431,256/x
3. Step 3: Cross multiply
   196,674x = 431,256 × 431,256
4. Step 4: Simplify right side
   196,674x = 185,981,737,536
5. Step 5: Solve for x
   x = 185,981,737,536/196,674
6. Step 6: Final answer
   x = 945,634.59