Finding the Third Proportional to 196,560 and 461,664

Step by Step Solution

1. Step 1: Write the proportion equation
   196,560 : 461,664 = 461,664 : x
2. Step 2: Convert to fraction form
   196,560/461,664 = 461,664/x
3. Step 3: Cross multiply
   196,560x = 461,664 × 461,664
4. Step 4: Simplify right side
   196,560x = 213,133,648,896
5. Step 5: Solve for x
   x = 213,133,648,896/196,560
6. Step 6: Final answer
   x = 1,084,318.52