Finding the Third Proportional to 99,198 and 215,886

Step by Step Solution

1. Step 1: Write the proportion equation
   99,198 : 215,886 = 215,886 : x
2. Step 2: Convert to fraction form
   99,198/215,886 = 215,886/x
3. Step 3: Cross multiply
   99,198x = 215,886 × 215,886
4. Step 4: Simplify right side
   99,198x = 46,606,764,996
5. Step 5: Solve for x
   x = 46,606,764,996/99,198
6. Step 6: Final answer
   x = 469,835.73