Finding the Third Proportional to 185,538 and 397,308

Step by Step Solution

1. Step 1: Write the proportion equation
   185,538 : 397,308 = 397,308 : x
2. Step 2: Convert to fraction form
   185,538/397,308 = 397,308/x
3. Step 3: Cross multiply
   185,538x = 397,308 × 397,308
4. Step 4: Simplify right side
   185,538x = 157,853,646,864
5. Step 5: Solve for x
   x = 157,853,646,864/185,538
6. Step 6: Final answer
   x = 850,788.77