Finding the Third Proportional to 123,336 and 259,560

Step by Step Solution

1. Step 1: Write the proportion equation
   123,336 : 259,560 = 259,560 : x
2. Step 2: Convert to fraction form
   123,336/259,560 = 259,560/x
3. Step 3: Cross multiply
   123,336x = 259,560 × 259,560
4. Step 4: Simplify right side
   123,336x = 67,371,393,600
5. Step 5: Solve for x
   x = 67,371,393,600/123,336
6. Step 6: Final answer
   x = 546,242.73