Finding the Third Proportional to 123,570 and 269,793

Step by Step Solution

1. Step 1: Write the proportion equation
   123,570 : 269,793 = 269,793 : x
2. Step 2: Convert to fraction form
   123,570/269,793 = 269,793/x
3. Step 3: Cross multiply
   123,570x = 269,793 × 269,793
4. Step 4: Simplify right side
   123,570x = 72,788,262,849
5. Step 5: Solve for x
   x = 72,788,262,849/123,570
6. Step 6: Final answer
   x = 589,044.78