Finding the Third Proportional to 123,339 and 269,505

Step by Step Solution

1. Step 1: Write the proportion equation
   123,339 : 269,505 = 269,505 : x
2. Step 2: Convert to fraction form
   123,339/269,505 = 269,505/x
3. Step 3: Cross multiply
   123,339x = 269,505 × 269,505
4. Step 4: Simplify right side
   123,339x = 72,632,945,025
5. Step 5: Solve for x
   x = 72,632,945,025/123,339
6. Step 6: Final answer
   x = 588,888.71