Finding the Third Proportional to 127,968 and 191,976

Step by Step Solution

1. Step 1: Write the proportion equation
   127,968 : 191,976 = 191,976 : x
2. Step 2: Convert to fraction form
   127,968/191,976 = 191,976/x
3. Step 3: Cross multiply
   127,968x = 191,976 × 191,976
4. Step 4: Simplify right side
   127,968x = 36,854,784,576
5. Step 5: Solve for x
   x = 36,854,784,576/127,968
6. Step 6: Final answer
   x = 288,000.00