Finding the Third Proportional to 126,986 and 189,856

Step by Step Solution

1. Step 1: Write the proportion equation
   126,986 : 189,856 = 189,856 : x
2. Step 2: Convert to fraction form
   126,986/189,856 = 189,856/x
3. Step 3: Cross multiply
   126,986x = 189,856 × 189,856
4. Step 4: Simplify right side
   126,986x = 36,045,300,736
5. Step 5: Solve for x
   x = 36,045,300,736/126,986
6. Step 6: Final answer
   x = 283,852.56