Finding the Third Proportional to 381,578 and 828,710

Step by Step Solution

1. Step 1: Write the proportion equation
   381,578 : 828,710 = 828,710 : x
2. Step 2: Convert to fraction form
   381,578/828,710 = 828,710/x
3. Step 3: Cross multiply
   381,578x = 828,710 × 828,710
4. Step 4: Simplify right side
   381,578x = 686,760,264,100
5. Step 5: Solve for x
   x = 686,760,264,100/381,578
6. Step 6: Final answer
   x = 1,799,789.99