Finding the Third Proportional to 127,513 and 280,189

Step by Step Solution

1. Step 1: Write the proportion equation
   127,513 : 280,189 = 280,189 : x
2. Step 2: Convert to fraction form
   127,513/280,189 = 280,189/x
3. Step 3: Cross multiply
   127,513x = 280,189 × 280,189
4. Step 4: Simplify right side
   127,513x = 78,505,875,721
5. Step 5: Solve for x
   x = 78,505,875,721/127,513
6. Step 6: Final answer
   x = 615,669.58