Finding the Third Proportional to 381,204 and 828,807.75

Step by Step Solution

1. Step 1: Write the proportion equation
   381,204 : 828,807.75 = 828,807.75 : x
2. Step 2: Convert to fraction form
   381,204/828,807.75 = 828,807.75/x
3. Step 3: Cross multiply
   381,204x = 828,807.75 × 828,807.75
4. Step 4: Simplify right side
   381,204x = 686,922,286,460.06
5. Step 5: Solve for x
   x = 686,922,286,460.06/381,204
6. Step 6: Final answer
   x = 1,801,980.79