Finding the Third Proportional to 410,598 and 614,238

Step by Step Solution

1. Step 1: Write the proportion equation
   410,598 : 614,238 = 614,238 : x
2. Step 2: Convert to fraction form
   410,598/614,238 = 614,238/x
3. Step 3: Cross multiply
   410,598x = 614,238 × 614,238
4. Step 4: Simplify right side
   410,598x = 377,288,320,644
5. Step 5: Solve for x
   x = 377,288,320,644/410,598
6. Step 6: Final answer
   x = 918,875.20