Finding the Third Proportional to 123,133 and 269,621

Step by Step Solution

1. Step 1: Write the proportion equation
   123,133 : 269,621 = 269,621 : x
2. Step 2: Convert to fraction form
   123,133/269,621 = 269,621/x
3. Step 3: Cross multiply
   123,133x = 269,621 × 269,621
4. Step 4: Simplify right side
   123,133x = 72,695,483,641
5. Step 5: Solve for x
   x = 72,695,483,641/123,133
6. Step 6: Final answer
   x = 590,381.81