Finding the Third Proportional to 270,738 and 396,870

Step by Step Solution

1. Step 1: Write the proportion equation
   270,738 : 396,870 = 396,870 : x
2. Step 2: Convert to fraction form
   270,738/396,870 = 396,870/x
3. Step 3: Cross multiply
   270,738x = 396,870 × 396,870
4. Step 4: Simplify right side
   270,738x = 157,505,796,900
5. Step 5: Solve for x
   x = 157,505,796,900/270,738
6. Step 6: Final answer
   x = 581,764.65