Finding the Third Proportional to 123,061 and 268,357

Step by Step Solution

1. Step 1: Write the proportion equation
   123,061 : 268,357 = 268,357 : x
2. Step 2: Convert to fraction form
   123,061/268,357 = 268,357/x
3. Step 3: Cross multiply
   123,061x = 268,357 × 268,357
4. Step 4: Simplify right side
   123,061x = 72,015,479,449
5. Step 5: Solve for x
   x = 72,015,479,449/123,061
6. Step 6: Final answer
   x = 585,201.48