Finding the Third Proportional to 105,760 and 221,896

Step by Step Solution

1. Step 1: Write the proportion equation
   105,760 : 221,896 = 221,896 : x
2. Step 2: Convert to fraction form
   105,760/221,896 = 221,896/x
3. Step 3: Cross multiply
   105,760x = 221,896 × 221,896
4. Step 4: Simplify right side
   105,760x = 49,237,834,816
5. Step 5: Solve for x
   x = 49,237,834,816/105,760
6. Step 6: Final answer
   x = 465,561.98