Finding the Third Proportional to 274,252 and 414,300

Step by Step Solution

1. Step 1: Write the proportion equation
   274,252 : 414,300 = 414,300 : x
2. Step 2: Convert to fraction form
   274,252/414,300 = 414,300/x
3. Step 3: Cross multiply
   274,252x = 414,300 × 414,300
4. Step 4: Simplify right side
   274,252x = 171,644,490,000
5. Step 5: Solve for x
   x = 171,644,490,000/274,252
6. Step 6: Final answer
   x = 625,864.13