Finding the Third Proportional to 127,496 and 269,584

Step by Step Solution

1. Step 1: Write the proportion equation
   127,496 : 269,584 = 269,584 : x
2. Step 2: Convert to fraction form
   127,496/269,584 = 269,584/x
3. Step 3: Cross multiply
   127,496x = 269,584 × 269,584
4. Step 4: Simplify right side
   127,496x = 72,675,533,056
5. Step 5: Solve for x
   x = 72,675,533,056/127,496
6. Step 6: Final answer
   x = 570,022.06