Finding the Third Proportional to 123,333 and 269,493

Step by Step Solution

1. Step 1: Write the proportion equation
   123,333 : 269,493 = 269,493 : x
2. Step 2: Convert to fraction form
   123,333/269,493 = 269,493/x
3. Step 3: Cross multiply
   123,333x = 269,493 × 269,493
4. Step 4: Simplify right side
   123,333x = 72,626,477,049
5. Step 5: Solve for x
   x = 72,626,477,049/123,333
6. Step 6: Final answer
   x = 588,864.92