Finding the Third Proportional to 382,674 and 796,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,674 : 796,819.50 = 796,819.50 : x
2. Step 2: Convert to fraction form
   382,674/796,819.50 = 796,819.50/x
3. Step 3: Cross multiply
   382,674x = 796,819.50 × 796,819.50
4. Step 4: Simplify right side
   382,674x = 634,921,315,580.25
5. Step 5: Solve for x
   x = 634,921,315,580.25/382,674
6. Step 6: Final answer
   x = 1,659,170.25