Finding the Third Proportional to 59,540 and 127,264

Step by Step Solution

1. Step 1: Write the proportion equation
   59,540 : 127,264 = 127,264 : x
2. Step 2: Convert to fraction form
   59,540/127,264 = 127,264/x
3. Step 3: Cross multiply
   59,540x = 127,264 × 127,264
4. Step 4: Simplify right side
   59,540x = 16,196,125,696
5. Step 5: Solve for x
   x = 16,196,125,696/59,540
6. Step 6: Final answer
   x = 272,020.92