Finding the Third Proportional to 106,095 and 144,174

Step by Step Solution

1. Step 1: Write the proportion equation
   106,095 : 144,174 = 144,174 : x
2. Step 2: Convert to fraction form
   106,095/144,174 = 144,174/x
3. Step 3: Cross multiply
   106,095x = 144,174 × 144,174
4. Step 4: Simplify right side
   106,095x = 20,786,142,276
5. Step 5: Solve for x
   x = 20,786,142,276/106,095
6. Step 6: Final answer
   x = 195,920.09