Finding the Third Proportional to 127,831.50 and 200,090.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,831.50 : 200,090.25 = 200,090.25 : x
2. Step 2: Convert to fraction form
   127,831.50/200,090.25 = 200,090.25/x
3. Step 3: Cross multiply
   127,831.50x = 200,090.25 × 200,090.25
4. Step 4: Simplify right side
   127,831.50x = 40,036,108,145.06
5. Step 5: Solve for x
   x = 40,036,108,145.06/127,831.50
6. Step 6: Final answer
   x = 313,194.39