Finding the Third Proportional to 73,768 and 111,766

Step by Step Solution

1. Step 1: Write the proportion equation
   73,768 : 111,766 = 111,766 : x
2. Step 2: Convert to fraction form
   73,768/111,766 = 111,766/x
3. Step 3: Cross multiply
   73,768x = 111,766 × 111,766
4. Step 4: Simplify right side
   73,768x = 12,491,638,756
5. Step 5: Solve for x
   x = 12,491,638,756/73,768
6. Step 6: Final answer
   x = 169,336.82