Finding the Third Proportional to 127,824 and 189,275.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,824 : 189,275.25 = 189,275.25 : x
2. Step 2: Convert to fraction form
   127,824/189,275.25 = 189,275.25/x
3. Step 3: Cross multiply
   127,824x = 189,275.25 × 189,275.25
4. Step 4: Simplify right side
   127,824x = 35,825,120,262.56
5. Step 5: Solve for x
   x = 35,825,120,262.56/127,824
6. Step 6: Final answer
   x = 280,269.12