Finding the Third Proportional to 123,575 and 269,802

Step by Step Solution

1. Step 1: Write the proportion equation
   123,575 : 269,802 = 269,802 : x
2. Step 2: Convert to fraction form
   123,575/269,802 = 269,802/x
3. Step 3: Cross multiply
   123,575x = 269,802 × 269,802
4. Step 4: Simplify right side
   123,575x = 72,793,119,204
5. Step 5: Solve for x
   x = 72,793,119,204/123,575
6. Step 6: Final answer
   x = 589,060.24