Finding the Third Proportional to 106,416 and 222,687

Step by Step Solution

1. Step 1: Write the proportion equation
   106,416 : 222,687 = 222,687 : x
2. Step 2: Convert to fraction form
   106,416/222,687 = 222,687/x
3. Step 3: Cross multiply
   106,416x = 222,687 × 222,687
4. Step 4: Simplify right side
   106,416x = 49,589,499,969
5. Step 5: Solve for x
   x = 49,589,499,969/106,416
6. Step 6: Final answer
   x = 465,996.65