Finding the Third Proportional to 196,512 and 461,922

Step by Step Solution

1. Step 1: Write the proportion equation
   196,512 : 461,922 = 461,922 : x
2. Step 2: Convert to fraction form
   196,512/461,922 = 461,922/x
3. Step 3: Cross multiply
   196,512x = 461,922 × 461,922
4. Step 4: Simplify right side
   196,512x = 213,371,934,084
5. Step 5: Solve for x
   x = 213,371,934,084/196,512
6. Step 6: Final answer
   x = 1,085,795.95