Finding the Third Proportional to 190,902 and 395,016

Step by Step Solution

1. Step 1: Write the proportion equation
   190,902 : 395,016 = 395,016 : x
2. Step 2: Convert to fraction form
   190,902/395,016 = 395,016/x
3. Step 3: Cross multiply
   190,902x = 395,016 × 395,016
4. Step 4: Simplify right side
   190,902x = 156,037,640,256
5. Step 5: Solve for x
   x = 156,037,640,256/190,902
6. Step 6: Final answer
   x = 817,370.38