Finding the Third Proportional to 123,682 and 263,358

Step by Step Solution

1. Step 1: Write the proportion equation
   123,682 : 263,358 = 263,358 : x
2. Step 2: Convert to fraction form
   123,682/263,358 = 263,358/x
3. Step 3: Cross multiply
   123,682x = 263,358 × 263,358
4. Step 4: Simplify right side
   123,682x = 69,357,436,164
5. Step 5: Solve for x
   x = 69,357,436,164/123,682
6. Step 6: Final answer
   x = 560,772.27