Finding the Third Proportional to 107,977 and 222,870

Step by Step Solution

1. Step 1: Write the proportion equation
   107,977 : 222,870 = 222,870 : x
2. Step 2: Convert to fraction form
   107,977/222,870 = 222,870/x
3. Step 3: Cross multiply
   107,977x = 222,870 × 222,870
4. Step 4: Simplify right side
   107,977x = 49,671,036,900
5. Step 5: Solve for x
   x = 49,671,036,900/107,977
6. Step 6: Final answer
   x = 460,014.97