Finding the Third Proportional to 271,340 and 589,384

Step by Step Solution

1. Step 1: Write the proportion equation
   271,340 : 589,384 = 589,384 : x
2. Step 2: Convert to fraction form
   271,340/589,384 = 589,384/x
3. Step 3: Cross multiply
   271,340x = 589,384 × 589,384
4. Step 4: Simplify right side
   271,340x = 347,373,499,456
5. Step 5: Solve for x
   x = 347,373,499,456/271,340
6. Step 6: Final answer
   x = 1,280,214.86