Finding the Third Proportional to 196,510 and 461,916

Step by Step Solution

1. Step 1: Write the proportion equation
   196,510 : 461,916 = 461,916 : x
2. Step 2: Convert to fraction form
   196,510/461,916 = 461,916/x
3. Step 3: Cross multiply
   196,510x = 461,916 × 461,916
4. Step 4: Simplify right side
   196,510x = 213,366,391,056
5. Step 5: Solve for x
   x = 213,366,391,056/196,510
6. Step 6: Final answer
   x = 1,085,778.80