Finding the Third Proportional to 123,522 and 269,348

Step by Step Solution

1. Step 1: Write the proportion equation
   123,522 : 269,348 = 269,348 : x
2. Step 2: Convert to fraction form
   123,522/269,348 = 269,348/x
3. Step 3: Cross multiply
   123,522x = 269,348 × 269,348
4. Step 4: Simplify right side
   123,522x = 72,548,345,104
5. Step 5: Solve for x
   x = 72,548,345,104/123,522
6. Step 6: Final answer
   x = 587,331.37