Finding the Third Proportional to 107,796 and 222,507

Step by Step Solution

1. Step 1: Write the proportion equation
   107,796 : 222,507 = 222,507 : x
2. Step 2: Convert to fraction form
   107,796/222,507 = 222,507/x
3. Step 3: Cross multiply
   107,796x = 222,507 × 222,507
4. Step 4: Simplify right side
   107,796x = 49,509,365,049
5. Step 5: Solve for x
   x = 49,509,365,049/107,796
6. Step 6: Final answer
   x = 459,287.59