Finding the Third Proportional to 123,573 and 269,799

Step by Step Solution

1. Step 1: Write the proportion equation
   123,573 : 269,799 = 269,799 : x
2. Step 2: Convert to fraction form
   123,573/269,799 = 269,799/x
3. Step 3: Cross multiply
   123,573x = 269,799 × 269,799
4. Step 4: Simplify right side
   123,573x = 72,791,500,401
5. Step 5: Solve for x
   x = 72,791,500,401/123,573
6. Step 6: Final answer
   x = 589,056.67