Finding the Third Proportional to 127,857 and 269,196

Step by Step Solution

1. Step 1: Write the proportion equation
   127,857 : 269,196 = 269,196 : x
2. Step 2: Convert to fraction form
   127,857/269,196 = 269,196/x
3. Step 3: Cross multiply
   127,857x = 269,196 × 269,196
4. Step 4: Simplify right side
   127,857x = 72,466,486,416
5. Step 5: Solve for x
   x = 72,466,486,416/127,857
6. Step 6: Final answer
   x = 566,777.62