Finding the Third Proportional to 109,863 and 210,978

Step by Step Solution

1. Step 1: Write the proportion equation
   109,863 : 210,978 = 210,978 : x
2. Step 2: Convert to fraction form
   109,863/210,978 = 210,978/x
3. Step 3: Cross multiply
   109,863x = 210,978 × 210,978
4. Step 4: Simplify right side
   109,863x = 44,511,716,484
5. Step 5: Solve for x
   x = 44,511,716,484/109,863
6. Step 6: Final answer
   x = 405,156.57