Finding the Third Proportional to 127,656 and 269,172

Step by Step Solution

1. Step 1: Write the proportion equation
   127,656 : 269,172 = 269,172 : x
2. Step 2: Convert to fraction form
   127,656/269,172 = 269,172/x
3. Step 3: Cross multiply
   127,656x = 269,172 × 269,172
4. Step 4: Simplify right side
   127,656x = 72,453,565,584
5. Step 5: Solve for x
   x = 72,453,565,584/127,656
6. Step 6: Final answer
   x = 567,568.82