Finding the Third Proportional to 451,434 and 714,223

Step by Step Solution

1. Step 1: Write the proportion equation
   451,434 : 714,223 = 714,223 : x
2. Step 2: Convert to fraction form
   451,434/714,223 = 714,223/x
3. Step 3: Cross multiply
   451,434x = 714,223 × 714,223
4. Step 4: Simplify right side
   451,434x = 510,114,493,729
5. Step 5: Solve for x
   x = 510,114,493,729/451,434
6. Step 6: Final answer
   x = 1,129,986.87