Finding the Third Proportional to 56,540 and 123,338

Step by Step Solution

1. Step 1: Write the proportion equation
   56,540 : 123,338 = 123,338 : x
2. Step 2: Convert to fraction form
   56,540/123,338 = 123,338/x
3. Step 3: Cross multiply
   56,540x = 123,338 × 123,338
4. Step 4: Simplify right side
   56,540x = 15,212,262,244
5. Step 5: Solve for x
   x = 15,212,262,244/56,540
6. Step 6: Final answer
   x = 269,053.10