Finding the Third Proportional to 105,696 and 143,964

Step by Step Solution

1. Step 1: Write the proportion equation
   105,696 : 143,964 = 143,964 : x
2. Step 2: Convert to fraction form
   105,696/143,964 = 143,964/x
3. Step 3: Cross multiply
   105,696x = 143,964 × 143,964
4. Step 4: Simplify right side
   105,696x = 20,725,633,296
5. Step 5: Solve for x
   x = 20,725,633,296/105,696
6. Step 6: Final answer
   x = 196,087.21