Finding the Third Proportional to 127,456 and 280,075

Step by Step Solution

1. Step 1: Write the proportion equation
   127,456 : 280,075 = 280,075 : x
2. Step 2: Convert to fraction form
   127,456/280,075 = 280,075/x
3. Step 3: Cross multiply
   127,456x = 280,075 × 280,075
4. Step 4: Simplify right side
   127,456x = 78,442,005,625
5. Step 5: Solve for x
   x = 78,442,005,625/127,456
6. Step 6: Final answer
   x = 615,443.81