Finding the Third Proportional to 242,570 and 510,274

Step by Step Solution

1. Step 1: Write the proportion equation
   242,570 : 510,274 = 510,274 : x
2. Step 2: Convert to fraction form
   242,570/510,274 = 510,274/x
3. Step 3: Cross multiply
   242,570x = 510,274 × 510,274
4. Step 4: Simplify right side
   242,570x = 260,379,555,076
5. Step 5: Solve for x
   x = 260,379,555,076/242,570
6. Step 6: Final answer
   x = 1,073,420.27