Finding the Third Proportional to 185,443 and 397,128

Step by Step Solution

1. Step 1: Write the proportion equation
   185,443 : 397,128 = 397,128 : x
2. Step 2: Convert to fraction form
   185,443/397,128 = 397,128/x
3. Step 3: Cross multiply
   185,443x = 397,128 × 397,128
4. Step 4: Simplify right side
   185,443x = 157,710,648,384
5. Step 5: Solve for x
   x = 157,710,648,384/185,443
6. Step 6: Final answer
   x = 850,453.50