Finding the Third Proportional to 123,421 and 269,143

Step by Step Solution

1. Step 1: Write the proportion equation
   123,421 : 269,143 = 269,143 : x
2. Step 2: Convert to fraction form
   123,421/269,143 = 269,143/x
3. Step 3: Cross multiply
   123,421x = 269,143 × 269,143
4. Step 4: Simplify right side
   123,421x = 72,437,954,449
5. Step 5: Solve for x
   x = 72,437,954,449/123,421
6. Step 6: Final answer
   x = 586,917.58