Finding the Third Proportional to 123,392 and 269,444

Step by Step Solution

1. Step 1: Write the proportion equation
   123,392 : 269,444 = 269,444 : x
2. Step 2: Convert to fraction form
   123,392/269,444 = 269,444/x
3. Step 3: Cross multiply
   123,392x = 269,444 × 269,444
4. Step 4: Simplify right side
   123,392x = 72,600,069,136
5. Step 5: Solve for x
   x = 72,600,069,136/123,392
6. Step 6: Final answer
   x = 588,369.34