Finding the Third Proportional to 99,908 and 213,986

Step by Step Solution

1. Step 1: Write the proportion equation
   99,908 : 213,986 = 213,986 : x
2. Step 2: Convert to fraction form
   99,908/213,986 = 213,986/x
3. Step 3: Cross multiply
   99,908x = 213,986 × 213,986
4. Step 4: Simplify right side
   99,908x = 45,790,008,196
5. Step 5: Solve for x
   x = 45,790,008,196/99,908
6. Step 6: Final answer
   x = 458,321.74