Finding the Third Proportional to 184,719 and 397,688

Step by Step Solution

1. Step 1: Write the proportion equation
   184,719 : 397,688 = 397,688 : x
2. Step 2: Convert to fraction form
   184,719/397,688 = 397,688/x
3. Step 3: Cross multiply
   184,719x = 397,688 × 397,688
4. Step 4: Simplify right side
   184,719x = 158,155,745,344
5. Step 5: Solve for x
   x = 158,155,745,344/184,719
6. Step 6: Final answer
   x = 856,196.41