Finding the Third Proportional to 73,769 and 111,767

Step by Step Solution

1. Step 1: Write the proportion equation
   73,769 : 111,767 = 111,767 : x
2. Step 2: Convert to fraction form
   73,769/111,767 = 111,767/x
3. Step 3: Cross multiply
   73,769x = 111,767 × 111,767
4. Step 4: Simplify right side
   73,769x = 12,491,862,289
5. Step 5: Solve for x
   x = 12,491,862,289/73,769
6. Step 6: Final answer
   x = 169,337.56