Finding the Third Proportional to 123,334 and 269,496

Step by Step Solution

1. Step 1: Write the proportion equation
   123,334 : 269,496 = 269,496 : x
2. Step 2: Convert to fraction form
   123,334/269,496 = 269,496/x
3. Step 3: Cross multiply
   123,334x = 269,496 × 269,496
4. Step 4: Simplify right side
   123,334x = 72,628,094,016
5. Step 5: Solve for x
   x = 72,628,094,016/123,334
6. Step 6: Final answer
   x = 588,873.25