Finding the Third Proportional to 127,804.50 and 280,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,804.50 : 280,219.50 = 280,219.50 : x
2. Step 2: Convert to fraction form
   127,804.50/280,219.50 = 280,219.50/x
3. Step 3: Cross multiply
   127,804.50x = 280,219.50 × 280,219.50
4. Step 4: Simplify right side
   127,804.50x = 78,522,968,180.25
5. Step 5: Solve for x
   x = 78,522,968,180.25/127,804.50
6. Step 6: Final answer
   x = 614,399.09