Finding the Third Proportional to 196,524 and 461,966

Step by Step Solution

1. Step 1: Write the proportion equation
   196,524 : 461,966 = 461,966 : x
2. Step 2: Convert to fraction form
   196,524/461,966 = 461,966/x
3. Step 3: Cross multiply
   196,524x = 461,966 × 461,966
4. Step 4: Simplify right side
   196,524x = 213,412,585,156
5. Step 5: Solve for x
   x = 213,412,585,156/196,524
6. Step 6: Final answer
   x = 1,085,936.50