Finding the Third Proportional to 195,354 and 401,076

Step by Step Solution

1. Step 1: Write the proportion equation
   195,354 : 401,076 = 401,076 : x
2. Step 2: Convert to fraction form
   195,354/401,076 = 401,076/x
3. Step 3: Cross multiply
   195,354x = 401,076 × 401,076
4. Step 4: Simplify right side
   195,354x = 160,861,957,776
5. Step 5: Solve for x
   x = 160,861,957,776/195,354
6. Step 6: Final answer
   x = 823,438.26