Finding the Third Proportional to 83,567 and 126,059

Step by Step Solution

1. Step 1: Write the proportion equation
   83,567 : 126,059 = 126,059 : x
2. Step 2: Convert to fraction form
   83,567/126,059 = 126,059/x
3. Step 3: Cross multiply
   83,567x = 126,059 × 126,059
4. Step 4: Simplify right side
   83,567x = 15,890,871,481
5. Step 5: Solve for x
   x = 15,890,871,481/83,567
6. Step 6: Final answer
   x = 190,157.26