Finding the Third Proportional to 106,978 and 230,048

Step by Step Solution

1. Step 1: Write the proportion equation
   106,978 : 230,048 = 230,048 : x
2. Step 2: Convert to fraction form
   106,978/230,048 = 230,048/x
3. Step 3: Cross multiply
   106,978x = 230,048 × 230,048
4. Step 4: Simplify right side
   106,978x = 52,922,082,304
5. Step 5: Solve for x
   x = 52,922,082,304/106,978
6. Step 6: Final answer
   x = 494,700.61