Finding the Third Proportional to 194,134 and 397,676

Step by Step Solution

1. Step 1: Write the proportion equation
   194,134 : 397,676 = 397,676 : x
2. Step 2: Convert to fraction form
   194,134/397,676 = 397,676/x
3. Step 3: Cross multiply
   194,134x = 397,676 × 397,676
4. Step 4: Simplify right side
   194,134x = 158,146,200,976
5. Step 5: Solve for x
   x = 158,146,200,976/194,134
6. Step 6: Final answer
   x = 814,623.92