Finding the Third Proportional to 123,165 and 269,082

Step by Step Solution

1. Step 1: Write the proportion equation
   123,165 : 269,082 = 269,082 : x
2. Step 2: Convert to fraction form
   123,165/269,082 = 269,082/x
3. Step 3: Cross multiply
   123,165x = 269,082 × 269,082
4. Step 4: Simplify right side
   123,165x = 72,405,122,724
5. Step 5: Solve for x
   x = 72,405,122,724/123,165
6. Step 6: Final answer
   x = 587,870.93