Finding the Third Proportional to 108,686 and 144,272

Step by Step Solution

1. Step 1: Write the proportion equation
   108,686 : 144,272 = 144,272 : x
2. Step 2: Convert to fraction form
   108,686/144,272 = 144,272/x
3. Step 3: Cross multiply
   108,686x = 144,272 × 144,272
4. Step 4: Simplify right side
   108,686x = 20,814,409,984
5. Step 5: Solve for x
   x = 20,814,409,984/108,686
6. Step 6: Final answer
   x = 191,509.58