Finding the Third Proportional to 126,684 and 275,271.75

Step by Step Solution

1. Step 1: Write the proportion equation
   126,684 : 275,271.75 = 275,271.75 : x
2. Step 2: Convert to fraction form
   126,684/275,271.75 = 275,271.75/x
3. Step 3: Cross multiply
   126,684x = 275,271.75 × 275,271.75
4. Step 4: Simplify right side
   126,684x = 75,774,536,348.06
5. Step 5: Solve for x
   x = 75,774,536,348.06/126,684
6. Step 6: Final answer
   x = 598,138.17