Finding the Third Proportional to 123,147 and 269,653

Step by Step Solution

1. Step 1: Write the proportion equation
   123,147 : 269,653 = 269,653 : x
2. Step 2: Convert to fraction form
   123,147/269,653 = 269,653/x
3. Step 3: Cross multiply
   123,147x = 269,653 × 269,653
4. Step 4: Simplify right side
   123,147x = 72,712,740,409
5. Step 5: Solve for x
   x = 72,712,740,409/123,147
6. Step 6: Final answer
   x = 590,454.83