Finding the Third Proportional to 80,759 and 123,965

Step by Step Solution

1. Step 1: Write the proportion equation
   80,759 : 123,965 = 123,965 : x
2. Step 2: Convert to fraction form
   80,759/123,965 = 123,965/x
3. Step 3: Cross multiply
   80,759x = 123,965 × 123,965
4. Step 4: Simplify right side
   80,759x = 15,367,321,225
5. Step 5: Solve for x
   x = 15,367,321,225/80,759
6. Step 6: Final answer
   x = 190,286.18