Finding the Third Proportional to 108,864 and 172,044

Step by Step Solution

1. Step 1: Write the proportion equation
   108,864 : 172,044 = 172,044 : x
2. Step 2: Convert to fraction form
   108,864/172,044 = 172,044/x
3. Step 3: Cross multiply
   108,864x = 172,044 × 172,044
4. Step 4: Simplify right side
   108,864x = 29,599,137,936
5. Step 5: Solve for x
   x = 29,599,137,936/108,864
6. Step 6: Final answer
   x = 271,890.96