Finding the Third Proportional to 123,976 and 263,456

Step by Step Solution

1. Step 1: Write the proportion equation
   123,976 : 263,456 = 263,456 : x
2. Step 2: Convert to fraction form
   123,976/263,456 = 263,456/x
3. Step 3: Cross multiply
   123,976x = 263,456 × 263,456
4. Step 4: Simplify right side
   123,976x = 69,409,063,936
5. Step 5: Solve for x
   x = 69,409,063,936/123,976
6. Step 6: Final answer
   x = 559,858.88