Finding the Third Proportional to 381,463.50 and 828,474

Step by Step Solution

1. Step 1: Write the proportion equation
   381,463.50 : 828,474 = 828,474 : x
2. Step 2: Convert to fraction form
   381,463.50/828,474 = 828,474/x
3. Step 3: Cross multiply
   381,463.50x = 828,474 × 828,474
4. Step 4: Simplify right side
   381,463.50x = 686,369,168,676
5. Step 5: Solve for x
   x = 686,369,168,676/381,463.50
6. Step 6: Final answer
   x = 1,799,304.96