Finding the Third Proportional to 271,184 and 410,280

Step by Step Solution

1. Step 1: Write the proportion equation
   271,184 : 410,280 = 410,280 : x
2. Step 2: Convert to fraction form
   271,184/410,280 = 410,280/x
3. Step 3: Cross multiply
   271,184x = 410,280 × 410,280
4. Step 4: Simplify right side
   271,184x = 168,329,678,400
5. Step 5: Solve for x
   x = 168,329,678,400/271,184
6. Step 6: Final answer
   x = 620,721.28