Finding the Third Proportional to 123,556 and 269,288

Step by Step Solution

1. Step 1: Write the proportion equation
   123,556 : 269,288 = 269,288 : x
2. Step 2: Convert to fraction form
   123,556/269,288 = 269,288/x
3. Step 3: Cross multiply
   123,556x = 269,288 × 269,288
4. Step 4: Simplify right side
   123,556x = 72,516,026,944
5. Step 5: Solve for x
   x = 72,516,026,944/123,556
6. Step 6: Final answer
   x = 586,908.18