Finding the Third Proportional to 274,505 and 410,141.25

Step by Step Solution

1. Step 1: Write the proportion equation
   274,505 : 410,141.25 = 410,141.25 : x
2. Step 2: Convert to fraction form
   274,505/410,141.25 = 410,141.25/x
3. Step 3: Cross multiply
   274,505x = 410,141.25 × 410,141.25
4. Step 4: Simplify right side
   274,505x = 168,215,844,951.56
5. Step 5: Solve for x
   x = 168,215,844,951.56/274,505
6. Step 6: Final answer
   x = 612,797.02