Finding the Third Proportional to 127,640 and 261,648

Step by Step Solution

1. Step 1: Write the proportion equation
   127,640 : 261,648 = 261,648 : x
2. Step 2: Convert to fraction form
   127,640/261,648 = 261,648/x
3. Step 3: Cross multiply
   127,640x = 261,648 × 261,648
4. Step 4: Simplify right side
   127,640x = 68,459,675,904
5. Step 5: Solve for x
   x = 68,459,675,904/127,640
6. Step 6: Final answer
   x = 536,349.70