Finding the Third Proportional to 106,409.75 and 222,676

Step by Step Solution

1. Step 1: Write the proportion equation
   106,409.75 : 222,676 = 222,676 : x
2. Step 2: Convert to fraction form
   106,409.75/222,676 = 222,676/x
3. Step 3: Cross multiply
   106,409.75x = 222,676 × 222,676
4. Step 4: Simplify right side
   106,409.75x = 49,584,600,976
5. Step 5: Solve for x
   x = 49,584,600,976/106,409.75
6. Step 6: Final answer
   x = 465,977.99