Finding the Third Proportional to 83,950 and 126,734

Step by Step Solution

1. Step 1: Write the proportion equation
   83,950 : 126,734 = 126,734 : x
2. Step 2: Convert to fraction form
   83,950/126,734 = 126,734/x
3. Step 3: Cross multiply
   83,950x = 126,734 × 126,734
4. Step 4: Simplify right side
   83,950x = 16,061,506,756
5. Step 5: Solve for x
   x = 16,061,506,756/83,950
6. Step 6: Final answer
   x = 191,322.30