Finding the Third Proportional to 127,648 and 261,632

Step by Step Solution

1. Step 1: Write the proportion equation
   127,648 : 261,632 = 261,632 : x
2. Step 2: Convert to fraction form
   127,648/261,632 = 261,632/x
3. Step 3: Cross multiply
   127,648x = 261,632 × 261,632
4. Step 4: Simplify right side
   127,648x = 68,451,303,424
5. Step 5: Solve for x
   x = 68,451,303,424/127,648
6. Step 6: Final answer
   x = 536,250.50