Finding the Third Proportional to 186,168 and 401,856

Step by Step Solution

1. Step 1: Write the proportion equation
   186,168 : 401,856 = 401,856 : x
2. Step 2: Convert to fraction form
   186,168/401,856 = 401,856/x
3. Step 3: Cross multiply
   186,168x = 401,856 × 401,856
4. Step 4: Simplify right side
   186,168x = 161,488,244,736
5. Step 5: Solve for x
   x = 161,488,244,736/186,168
6. Step 6: Final answer
   x = 867,432.88