Finding the Third Proportional to 108,384 and 144,971

Step by Step Solution

1. Step 1: Write the proportion equation
   108,384 : 144,971 = 144,971 : x
2. Step 2: Convert to fraction form
   108,384/144,971 = 144,971/x
3. Step 3: Cross multiply
   108,384x = 144,971 × 144,971
4. Step 4: Simplify right side
   108,384x = 21,016,590,841
5. Step 5: Solve for x
   x = 21,016,590,841/108,384
6. Step 6: Final answer
   x = 193,908.61