Finding the Third Proportional to 103,288 and 218,978

Step by Step Solution

1. Step 1: Write the proportion equation
   103,288 : 218,978 = 218,978 : x
2. Step 2: Convert to fraction form
   103,288/218,978 = 218,978/x
3. Step 3: Cross multiply
   103,288x = 218,978 × 218,978
4. Step 4: Simplify right side
   103,288x = 47,951,364,484
5. Step 5: Solve for x
   x = 47,951,364,484/103,288
6. Step 6: Final answer
   x = 464,249.13