Finding the Third Proportional to 378,756 and 828,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,756 : 828,778.50 = 828,778.50 : x
2. Step 2: Convert to fraction form
   378,756/828,778.50 = 828,778.50/x
3. Step 3: Cross multiply
   378,756x = 828,778.50 × 828,778.50
4. Step 4: Simplify right side
   378,756x = 686,873,802,062.25
5. Step 5: Solve for x
   x = 686,873,802,062.25/378,756
6. Step 6: Final answer
   x = 1,813,499.46