Finding the Third Proportional to 110,412 and 174,906

Step by Step Solution

1. Step 1: Write the proportion equation
   110,412 : 174,906 = 174,906 : x
2. Step 2: Convert to fraction form
   110,412/174,906 = 174,906/x
3. Step 3: Cross multiply
   110,412x = 174,906 × 174,906
4. Step 4: Simplify right side
   110,412x = 30,592,108,836
5. Step 5: Solve for x
   x = 30,592,108,836/110,412
6. Step 6: Final answer
   x = 277,072.32