Finding the Third Proportional to 123,556 and 257,832

Step by Step Solution

1. Step 1: Write the proportion equation
   123,556 : 257,832 = 257,832 : x
2. Step 2: Convert to fraction form
   123,556/257,832 = 257,832/x
3. Step 3: Cross multiply
   123,556x = 257,832 × 257,832
4. Step 4: Simplify right side
   123,556x = 66,477,340,224
5. Step 5: Solve for x
   x = 66,477,340,224/123,556
6. Step 6: Final answer
   x = 538,034.09