Finding the Third Proportional to 105,696 and 226,152

Step by Step Solution

1. Step 1: Write the proportion equation
   105,696 : 226,152 = 226,152 : x
2. Step 2: Convert to fraction form
   105,696/226,152 = 226,152/x
3. Step 3: Cross multiply
   105,696x = 226,152 × 226,152
4. Step 4: Simplify right side
   105,696x = 51,144,727,104
5. Step 5: Solve for x
   x = 51,144,727,104/105,696
6. Step 6: Final answer
   x = 483,885.17