Finding the Third Proportional to 110,898 and 173,739.75

Step by Step Solution

1. Step 1: Write the proportion equation
   110,898 : 173,739.75 = 173,739.75 : x
2. Step 2: Convert to fraction form
   110,898/173,739.75 = 173,739.75/x
3. Step 3: Cross multiply
   110,898x = 173,739.75 × 173,739.75
4. Step 4: Simplify right side
   110,898x = 30,185,500,730.06
5. Step 5: Solve for x
   x = 30,185,500,730.06/110,898
6. Step 6: Final answer
   x = 272,191.57