Finding the Third Proportional to 213,495 and 459,978

Step by Step Solution

1. Step 1: Write the proportion equation
   213,495 : 459,978 = 459,978 : x
2. Step 2: Convert to fraction form
   213,495/459,978 = 459,978/x
3. Step 3: Cross multiply
   213,495x = 459,978 × 459,978
4. Step 4: Simplify right side
   213,495x = 211,579,760,484
5. Step 5: Solve for x
   x = 211,579,760,484/213,495
6. Step 6: Final answer
   x = 991,029.11