Finding the Third Proportional to 378,768 and 828,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,768 : 828,796.50 = 828,796.50 : x
2. Step 2: Convert to fraction form
   378,768/828,796.50 = 828,796.50/x
3. Step 3: Cross multiply
   378,768x = 828,796.50 × 828,796.50
4. Step 4: Simplify right side
   378,768x = 686,903,638,412.25
5. Step 5: Solve for x
   x = 686,903,638,412.25/378,768
6. Step 6: Final answer
   x = 1,813,520.78