Finding the Third Proportional to 269,818 and 395,978

Step by Step Solution

1. Step 1: Write the proportion equation
   269,818 : 395,978 = 395,978 : x
2. Step 2: Convert to fraction form
   269,818/395,978 = 395,978/x
3. Step 3: Cross multiply
   269,818x = 395,978 × 395,978
4. Step 4: Simplify right side
   269,818x = 156,798,576,484
5. Step 5: Solve for x
   x = 156,798,576,484/269,818
6. Step 6: Final answer
   x = 581,127.19