Finding the Third Proportional to 274,227 and 414,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   274,227 : 414,256.50 = 414,256.50 : x
2. Step 2: Convert to fraction form
   274,227/414,256.50 = 414,256.50/x
3. Step 3: Cross multiply
   274,227x = 414,256.50 × 414,256.50
4. Step 4: Simplify right side
   274,227x = 171,608,447,792.25
5. Step 5: Solve for x
   x = 171,608,447,792.25/274,227
6. Step 6: Final answer
   x = 625,789.76