Finding the Third Proportional to 191,164 and 398,004

Step by Step Solution

1. Step 1: Write the proportion equation
   191,164 : 398,004 = 398,004 : x
2. Step 2: Convert to fraction form
   191,164/398,004 = 398,004/x
3. Step 3: Cross multiply
   191,164x = 398,004 × 398,004
4. Step 4: Simplify right side
   191,164x = 158,407,184,016
5. Step 5: Solve for x
   x = 158,407,184,016/191,164
6. Step 6: Final answer
   x = 828,645.48