Finding the Third Proportional to 196,508 and 461,912

Step by Step Solution

1. Step 1: Write the proportion equation
   196,508 : 461,912 = 461,912 : x
2. Step 2: Convert to fraction form
   196,508/461,912 = 461,912/x
3. Step 3: Cross multiply
   196,508x = 461,912 × 461,912
4. Step 4: Simplify right side
   196,508x = 213,362,695,744
5. Step 5: Solve for x
   x = 213,362,695,744/196,508
6. Step 6: Final answer
   x = 1,085,771.04