Finding the Third Proportional to 127,865.25 and 200,581.88

Step by Step Solution

1. Step 1: Write the proportion equation
   127,865.25 : 200,581.88 = 200,581.88 : x
2. Step 2: Convert to fraction form
   127,865.25/200,581.88 = 200,581.88/x
3. Step 3: Cross multiply
   127,865.25x = 200,581.88 × 200,581.88
4. Step 4: Simplify right side
   127,865.25x = 40,233,088,578.52
5. Step 5: Solve for x
   x = 40,233,088,578.52/127,865.25
6. Step 6: Final answer
   x = 314,652.25