Finding the Third Proportional to 127,900 and 200,196

Step by Step Solution

1. Step 1: Write the proportion equation
   127,900 : 200,196 = 200,196 : x
2. Step 2: Convert to fraction form
   127,900/200,196 = 200,196/x
3. Step 3: Cross multiply
   127,900x = 200,196 × 200,196
4. Step 4: Simplify right side
   127,900x = 40,078,438,416
5. Step 5: Solve for x
   x = 40,078,438,416/127,900
6. Step 6: Final answer
   x = 313,357.61