Finding the Third Proportional to 123,480 and 269,559

Step by Step Solution

1. Step 1: Write the proportion equation
   123,480 : 269,559 = 269,559 : x
2. Step 2: Convert to fraction form
   123,480/269,559 = 269,559/x
3. Step 3: Cross multiply
   123,480x = 269,559 × 269,559
4. Step 4: Simplify right side
   123,480x = 72,662,054,481
5. Step 5: Solve for x
   x = 72,662,054,481/123,480
6. Step 6: Final answer
   x = 588,452.01