Finding the Third Proportional to 123,357 and 269,025

Step by Step Solution

1. Step 1: Write the proportion equation
   123,357 : 269,025 = 269,025 : x
2. Step 2: Convert to fraction form
   123,357/269,025 = 269,025/x
3. Step 3: Cross multiply
   123,357x = 269,025 × 269,025
4. Step 4: Simplify right side
   123,357x = 72,374,450,625
5. Step 5: Solve for x
   x = 72,374,450,625/123,357
6. Step 6: Final answer
   x = 586,707.29