Finding the Third Proportional to 242,078 and 517,510

Step by Step Solution

1. Step 1: Write the proportion equation
   242,078 : 517,510 = 517,510 : x
2. Step 2: Convert to fraction form
   242,078/517,510 = 517,510/x
3. Step 3: Cross multiply
   242,078x = 517,510 × 517,510
4. Step 4: Simplify right side
   242,078x = 267,816,600,100
5. Step 5: Solve for x
   x = 267,816,600,100/242,078
6. Step 6: Final answer
   x = 1,106,323.58