Finding the Third Proportional to 80,667 and 123,786

Step by Step Solution

1. Step 1: Write the proportion equation
   80,667 : 123,786 = 123,786 : x
2. Step 2: Convert to fraction form
   80,667/123,786 = 123,786/x
3. Step 3: Cross multiply
   80,667x = 123,786 × 123,786
4. Step 4: Simplify right side
   80,667x = 15,322,973,796
5. Step 5: Solve for x
   x = 15,322,973,796/80,667
6. Step 6: Final answer
   x = 189,953.44