Finding the Third Proportional to 434,978 and 665,468

Step by Step Solution

1. Step 1: Write the proportion equation
   434,978 : 665,468 = 665,468 : x
2. Step 2: Convert to fraction form
   434,978/665,468 = 665,468/x
3. Step 3: Cross multiply
   434,978x = 665,468 × 665,468
4. Step 4: Simplify right side
   434,978x = 442,847,659,024
5. Step 5: Solve for x
   x = 442,847,659,024/434,978
6. Step 6: Final answer
   x = 1,018,092.09