Finding the Third Proportional to 289,788 and 381,978

Step by Step Solution

1. Step 1: Write the proportion equation
   289,788 : 381,978 = 381,978 : x
2. Step 2: Convert to fraction form
   289,788/381,978 = 381,978/x
3. Step 3: Cross multiply
   289,788x = 381,978 × 381,978
4. Step 4: Simplify right side
   289,788x = 145,907,192,484
5. Step 5: Solve for x
   x = 145,907,192,484/289,788
6. Step 6: Final answer
   x = 503,496.32