Finding the Third Proportional to 110,538 and 175,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,538 : 175,297.50 = 175,297.50 : x
2. Step 2: Convert to fraction form
   110,538/175,297.50 = 175,297.50/x
3. Step 3: Cross multiply
   110,538x = 175,297.50 × 175,297.50
4. Step 4: Simplify right side
   110,538x = 30,729,213,506.25
5. Step 5: Solve for x
   x = 30,729,213,506.25/110,538
6. Step 6: Final answer
   x = 277,996.83