Finding the Third Proportional to 101,760 and 222,960

Step by Step Solution

1. Step 1: Write the proportion equation
   101,760 : 222,960 = 222,960 : x
2. Step 2: Convert to fraction form
   101,760/222,960 = 222,960/x
3. Step 3: Cross multiply
   101,760x = 222,960 × 222,960
4. Step 4: Simplify right side
   101,760x = 49,711,161,600
5. Step 5: Solve for x
   x = 49,711,161,600/101,760
6. Step 6: Final answer
   x = 488,513.77