Finding the Third Proportional to 127,460 and 280,010

Step by Step Solution

1. Step 1: Write the proportion equation
   127,460 : 280,010 = 280,010 : x
2. Step 2: Convert to fraction form
   127,460/280,010 = 280,010/x
3. Step 3: Cross multiply
   127,460x = 280,010 × 280,010
4. Step 4: Simplify right side
   127,460x = 78,405,600,100
5. Step 5: Solve for x
   x = 78,405,600,100/127,460
6. Step 6: Final answer
   x = 615,138.87