Finding the Third Proportional to 191,638 and 395,570

Step by Step Solution

1. Step 1: Write the proportion equation
   191,638 : 395,570 = 395,570 : x
2. Step 2: Convert to fraction form
   191,638/395,570 = 395,570/x
3. Step 3: Cross multiply
   191,638x = 395,570 × 395,570
4. Step 4: Simplify right side
   191,638x = 156,475,624,900
5. Step 5: Solve for x
   x = 156,475,624,900/191,638
6. Step 6: Final answer
   x = 816,516.69