Finding the Third Proportional to 110,434.50 and 175,142.25

Step by Step Solution

1. Step 1: Write the proportion equation
   110,434.50 : 175,142.25 = 175,142.25 : x
2. Step 2: Convert to fraction form
   110,434.50/175,142.25 = 175,142.25/x
3. Step 3: Cross multiply
   110,434.50x = 175,142.25 × 175,142.25
4. Step 4: Simplify right side
   110,434.50x = 30,674,807,735.06
5. Step 5: Solve for x
   x = 30,674,807,735.06/110,434.50
6. Step 6: Final answer
   x = 277,764.72