Finding the Third Proportional to 381,196.13 and 828,792

Step by Step Solution

1. Step 1: Write the proportion equation
   381,196.13 : 828,792 = 828,792 : x
2. Step 2: Convert to fraction form
   381,196.13/828,792 = 828,792/x
3. Step 3: Cross multiply
   381,196.13x = 828,792 × 828,792
4. Step 4: Simplify right side
   381,196.13x = 686,896,179,264
5. Step 5: Solve for x
   x = 686,896,179,264/381,196.13
6. Step 6: Final answer
   x = 1,801,949.53