Finding the Third Proportional to 110,402 and 175,105

Step by Step Solution

1. Step 1: Write the proportion equation
   110,402 : 175,105 = 175,105 : x
2. Step 2: Convert to fraction form
   110,402/175,105 = 175,105/x
3. Step 3: Cross multiply
   110,402x = 175,105 × 175,105
4. Step 4: Simplify right side
   110,402x = 30,661,761,025
5. Step 5: Solve for x
   x = 30,661,761,025/110,402
6. Step 6: Final answer
   x = 277,728.31