Finding the Third Proportional to 147,777 and 222,760

Step by Step Solution

1. Step 1: Write the proportion equation
   147,777 : 222,760 = 222,760 : x
2. Step 2: Convert to fraction form
   147,777/222,760 = 222,760/x
3. Step 3: Cross multiply
   147,777x = 222,760 × 222,760
4. Step 4: Simplify right side
   147,777x = 49,622,017,600
5. Step 5: Solve for x
   x = 49,622,017,600/147,777
6. Step 6: Final answer
   x = 335,789.86