Finding the Third Proportional to 597,978 and 926,856

Step by Step Solution

1. Step 1: Write the proportion equation
   597,978 : 926,856 = 926,856 : x
2. Step 2: Convert to fraction form
   597,978/926,856 = 926,856/x
3. Step 3: Cross multiply
   597,978x = 926,856 × 926,856
4. Step 4: Simplify right side
   597,978x = 859,062,044,736
5. Step 5: Solve for x
   x = 859,062,044,736/597,978
6. Step 6: Final answer
   x = 1,436,611.46