Finding the Third Proportional to 127,856 and 269,191

Step by Step Solution

1. Step 1: Write the proportion equation
   127,856 : 269,191 = 269,191 : x
2. Step 2: Convert to fraction form
   127,856/269,191 = 269,191/x
3. Step 3: Cross multiply
   127,856x = 269,191 × 269,191
4. Step 4: Simplify right side
   127,856x = 72,463,794,481
5. Step 5: Solve for x
   x = 72,463,794,481/127,856
6. Step 6: Final answer
   x = 566,761.00