Finding the Third Proportional to 242,970 and 510,510

Step by Step Solution

1. Step 1: Write the proportion equation
   242,970 : 510,510 = 510,510 : x
2. Step 2: Convert to fraction form
   242,970/510,510 = 510,510/x
3. Step 3: Cross multiply
   242,970x = 510,510 × 510,510
4. Step 4: Simplify right side
   242,970x = 260,620,460,100
5. Step 5: Solve for x
   x = 260,620,460,100/242,970
6. Step 6: Final answer
   x = 1,072,644.61