Finding the Third Proportional to 109,281.50 and 173,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,281.50 : 173,768.50 = 173,768.50 : x
2. Step 2: Convert to fraction form
   109,281.50/173,768.50 = 173,768.50/x
3. Step 3: Cross multiply
   109,281.50x = 173,768.50 × 173,768.50
4. Step 4: Simplify right side
   109,281.50x = 30,195,491,592.25
5. Step 5: Solve for x
   x = 30,195,491,592.25/109,281.50
6. Step 6: Final answer
   x = 276,309.27