Finding the Third Proportional to 194,144 and 397,696

Step by Step Solution

1. Step 1: Write the proportion equation
   194,144 : 397,696 = 397,696 : x
2. Step 2: Convert to fraction form
   194,144/397,696 = 397,696/x
3. Step 3: Cross multiply
   194,144x = 397,696 × 397,696
4. Step 4: Simplify right side
   194,144x = 158,162,108,416
5. Step 5: Solve for x
   x = 158,162,108,416/194,144
6. Step 6: Final answer
   x = 814,663.90