Finding the Third Proportional to 126,680 and 200,584

Step by Step Solution

1. Step 1: Write the proportion equation
   126,680 : 200,584 = 200,584 : x
2. Step 2: Convert to fraction form
   126,680/200,584 = 200,584/x
3. Step 3: Cross multiply
   126,680x = 200,584 × 200,584
4. Step 4: Simplify right side
   126,680x = 40,233,941,056
5. Step 5: Solve for x
   x = 40,233,941,056/126,680
6. Step 6: Final answer
   x = 317,602.94