Finding the Third Proportional to 127,700 and 259,048

Step by Step Solution

1. Step 1: Write the proportion equation
   127,700 : 259,048 = 259,048 : x
2. Step 2: Convert to fraction form
   127,700/259,048 = 259,048/x
3. Step 3: Cross multiply
   127,700x = 259,048 × 259,048
4. Step 4: Simplify right side
   127,700x = 67,105,866,304
5. Step 5: Solve for x
   x = 67,105,866,304/127,700
6. Step 6: Final answer
   x = 525,496.21