Finding the Third Proportional to 451,438 and 714,229

Step by Step Solution

1. Step 1: Write the proportion equation
   451,438 : 714,229 = 714,229 : x
2. Step 2: Convert to fraction form
   451,438/714,229 = 714,229/x
3. Step 3: Cross multiply
   451,438x = 714,229 × 714,229
4. Step 4: Simplify right side
   451,438x = 510,123,064,441
5. Step 5: Solve for x
   x = 510,123,064,441/451,438
6. Step 6: Final answer
   x = 1,129,995.85