Finding the Third Proportional to 126,271.50 and 280,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,271.50 : 280,567.50 = 280,567.50 : x
2. Step 2: Convert to fraction form
   126,271.50/280,567.50 = 280,567.50/x
3. Step 3: Cross multiply
   126,271.50x = 280,567.50 × 280,567.50
4. Step 4: Simplify right side
   126,271.50x = 78,718,122,056.25
5. Step 5: Solve for x
   x = 78,718,122,056.25/126,271.50
6. Step 6: Final answer
   x = 623,403.71