Finding the Third Proportional to 105,420 and 226,960

Step by Step Solution

1. Step 1: Write the proportion equation
   105,420 : 226,960 = 226,960 : x
2. Step 2: Convert to fraction form
   105,420/226,960 = 226,960/x
3. Step 3: Cross multiply
   105,420x = 226,960 × 226,960
4. Step 4: Simplify right side
   105,420x = 51,510,841,600
5. Step 5: Solve for x
   x = 51,510,841,600/105,420
6. Step 6: Final answer
   x = 488,624.94