Finding the Third Proportional to 77,986 and 111,147

Step by Step Solution

1. Step 1: Write the proportion equation
   77,986 : 111,147 = 111,147 : x
2. Step 2: Convert to fraction form
   77,986/111,147 = 111,147/x
3. Step 3: Cross multiply
   77,986x = 111,147 × 111,147
4. Step 4: Simplify right side
   77,986x = 12,353,655,609
5. Step 5: Solve for x
   x = 12,353,655,609/77,986
6. Step 6: Final answer
   x = 158,408.63