Finding the Third Proportional to 196,508 and 401,260

Step by Step Solution

1. Step 1: Write the proportion equation
   196,508 : 401,260 = 401,260 : x
2. Step 2: Convert to fraction form
   196,508/401,260 = 401,260/x
3. Step 3: Cross multiply
   196,508x = 401,260 × 401,260
4. Step 4: Simplify right side
   196,508x = 161,009,587,600
5. Step 5: Solve for x
   x = 161,009,587,600/196,508
6. Step 6: Final answer
   x = 819,353.86