Finding the Third Proportional to 80,978.48 and 127,018.76

Step by Step Solution

1. Step 1: Write the proportion equation
   80,978.48 : 127,018.76 = 127,018.76 : x
2. Step 2: Convert to fraction form
   80,978.48/127,018.76 = 127,018.76/x
3. Step 3: Cross multiply
   80,978.48x = 127,018.76 × 127,018.76
4. Step 4: Simplify right side
   80,978.48x = 16,133,764,836.23
5. Step 5: Solve for x
   x = 16,133,764,836.23/80,978.48
6. Step 6: Final answer
   x = 199,235.20