Finding the Third Proportional to 127,890 and 200,184

Step by Step Solution

1. Step 1: Write the proportion equation
   127,890 : 200,184 = 200,184 : x
2. Step 2: Convert to fraction form
   127,890/200,184 = 200,184/x
3. Step 3: Cross multiply
   127,890x = 200,184 × 200,184
4. Step 4: Simplify right side
   127,890x = 40,073,633,856
5. Step 5: Solve for x
   x = 40,073,633,856/127,890
6. Step 6: Final answer
   x = 313,344.54