Finding the Third Proportional to 111,689 and 238,960

Step by Step Solution

1. Step 1: Write the proportion equation
   111,689 : 238,960 = 238,960 : x
2. Step 2: Convert to fraction form
   111,689/238,960 = 238,960/x
3. Step 3: Cross multiply
   111,689x = 238,960 × 238,960
4. Step 4: Simplify right side
   111,689x = 57,101,881,600
5. Step 5: Solve for x
   x = 57,101,881,600/111,689
6. Step 6: Final answer
   x = 511,257.88