Finding the Third Proportional to 185,867 and 395,710

Step by Step Solution

1. Step 1: Write the proportion equation
   185,867 : 395,710 = 395,710 : x
2. Step 2: Convert to fraction form
   185,867/395,710 = 395,710/x
3. Step 3: Cross multiply
   185,867x = 395,710 × 395,710
4. Step 4: Simplify right side
   185,867x = 156,586,404,100
5. Step 5: Solve for x
   x = 156,586,404,100/185,867
6. Step 6: Final answer
   x = 842,464.80