Finding the Third Proportional to 111,096 and 172,044

Step by Step Solution

1. Step 1: Write the proportion equation
   111,096 : 172,044 = 172,044 : x
2. Step 2: Convert to fraction form
   111,096/172,044 = 172,044/x
3. Step 3: Cross multiply
   111,096x = 172,044 × 172,044
4. Step 4: Simplify right side
   111,096x = 29,599,137,936
5. Step 5: Solve for x
   x = 29,599,137,936/111,096
6. Step 6: Final answer
   x = 266,428.48