Finding the Third Proportional to 127,962 and 280,116

Step by Step Solution

1. Step 1: Write the proportion equation
   127,962 : 280,116 = 280,116 : x
2. Step 2: Convert to fraction form
   127,962/280,116 = 280,116/x
3. Step 3: Cross multiply
   127,962x = 280,116 × 280,116
4. Step 4: Simplify right side
   127,962x = 78,464,973,456
5. Step 5: Solve for x
   x = 78,464,973,456/127,962
6. Step 6: Final answer
   x = 613,189.65