Finding the Third Proportional to 123,621 and 269,271

Step by Step Solution

1. Step 1: Write the proportion equation
   123,621 : 269,271 = 269,271 : x
2. Step 2: Convert to fraction form
   123,621/269,271 = 269,271/x
3. Step 3: Cross multiply
   123,621x = 269,271 × 269,271
4. Step 4: Simplify right side
   123,621x = 72,506,871,441
5. Step 5: Solve for x
   x = 72,506,871,441/123,621
6. Step 6: Final answer
   x = 586,525.52