Finding the Third Proportional to 73,767 and 111,764.25

Step by Step Solution

1. Step 1: Write the proportion equation
   73,767 : 111,764.25 = 111,764.25 : x
2. Step 2: Convert to fraction form
   73,767/111,764.25 = 111,764.25/x
3. Step 3: Cross multiply
   73,767x = 111,764.25 × 111,764.25
4. Step 4: Simplify right side
   73,767x = 12,491,247,578.06
5. Step 5: Solve for x
   x = 12,491,247,578.06/73,767
6. Step 6: Final answer
   x = 169,333.82