Finding the Third Proportional to 83,754 and 126,504

Step by Step Solution

1. Step 1: Write the proportion equation
   83,754 : 126,504 = 126,504 : x
2. Step 2: Convert to fraction form
   83,754/126,504 = 126,504/x
3. Step 3: Cross multiply
   83,754x = 126,504 × 126,504
4. Step 4: Simplify right side
   83,754x = 16,003,262,016
5. Step 5: Solve for x
   x = 16,003,262,016/83,754
6. Step 6: Final answer
   x = 191,074.60