Finding the Third Proportional to 57,996 and 126,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,996 : 126,643.50 = 126,643.50 : x
2. Step 2: Convert to fraction form
   57,996/126,643.50 = 126,643.50/x
3. Step 3: Cross multiply
   57,996x = 126,643.50 × 126,643.50
4. Step 4: Simplify right side
   57,996x = 16,038,576,092.25
5. Step 5: Solve for x
   x = 16,038,576,092.25/57,996
6. Step 6: Final answer
   x = 276,546.25