Finding the Third Proportional to 184,826 and 397,256

Step by Step Solution

1. Step 1: Write the proportion equation
   184,826 : 397,256 = 397,256 : x
2. Step 2: Convert to fraction form
   184,826/397,256 = 397,256/x
3. Step 3: Cross multiply
   184,826x = 397,256 × 397,256
4. Step 4: Simplify right side
   184,826x = 157,812,329,536
5. Step 5: Solve for x
   x = 157,812,329,536/184,826
6. Step 6: Final answer
   x = 853,842.69