Finding the Third Proportional to 126,644 and 200,538

Step by Step Solution

1. Step 1: Write the proportion equation
   126,644 : 200,538 = 200,538 : x
2. Step 2: Convert to fraction form
   126,644/200,538 = 200,538/x
3. Step 3: Cross multiply
   126,644x = 200,538 × 200,538
4. Step 4: Simplify right side
   126,644x = 40,215,489,444
5. Step 5: Solve for x
   x = 40,215,489,444/126,644
6. Step 6: Final answer
   x = 317,547.53