Finding the Third Proportional to 271,404 and 410,076

Step by Step Solution

1. Step 1: Write the proportion equation
   271,404 : 410,076 = 410,076 : x
2. Step 2: Convert to fraction form
   271,404/410,076 = 410,076/x
3. Step 3: Cross multiply
   271,404x = 410,076 × 410,076
4. Step 4: Simplify right side
   271,404x = 168,162,325,776
5. Step 5: Solve for x
   x = 168,162,325,776/271,404
6. Step 6: Final answer
   x = 619,601.50