Finding the Third Proportional to 410,614 and 614,250

Step by Step Solution

1. Step 1: Write the proportion equation
   410,614 : 614,250 = 614,250 : x
2. Step 2: Convert to fraction form
   410,614/614,250 = 614,250/x
3. Step 3: Cross multiply
   410,614x = 614,250 × 614,250
4. Step 4: Simplify right side
   410,614x = 377,303,062,500
5. Step 5: Solve for x
   x = 377,303,062,500/410,614
6. Step 6: Final answer
   x = 918,875.30