Finding the Third Proportional to 185,116 and 397,016

Step by Step Solution

1. Step 1: Write the proportion equation
   185,116 : 397,016 = 397,016 : x
2. Step 2: Convert to fraction form
   185,116/397,016 = 397,016/x
3. Step 3: Cross multiply
   185,116x = 397,016 × 397,016
4. Step 4: Simplify right side
   185,116x = 157,621,704,256
5. Step 5: Solve for x
   x = 157,621,704,256/185,116
6. Step 6: Final answer
   x = 851,475.31