Finding the Third Proportional to 195,920 and 400,142

Step by Step Solution

1. Step 1: Write the proportion equation
   195,920 : 400,142 = 400,142 : x
2. Step 2: Convert to fraction form
   195,920/400,142 = 400,142/x
3. Step 3: Cross multiply
   195,920x = 400,142 × 400,142
4. Step 4: Simplify right side
   195,920x = 160,113,620,164
5. Step 5: Solve for x
   x = 160,113,620,164/195,920
6. Step 6: Final answer
   x = 817,239.79