Finding the Third Proportional to 83,271 and 126,978

Step by Step Solution

1. Step 1: Write the proportion equation
   83,271 : 126,978 = 126,978 : x
2. Step 2: Convert to fraction form
   83,271/126,978 = 126,978/x
3. Step 3: Cross multiply
   83,271x = 126,978 × 126,978
4. Step 4: Simplify right side
   83,271x = 16,123,412,484
5. Step 5: Solve for x
   x = 16,123,412,484/83,271
6. Step 6: Final answer
   x = 193,625.78