Finding the Third Proportional to 99,986 and 216,008

Step by Step Solution

1. Step 1: Write the proportion equation
   99,986 : 216,008 = 216,008 : x
2. Step 2: Convert to fraction form
   99,986/216,008 = 216,008/x
3. Step 3: Cross multiply
   99,986x = 216,008 × 216,008
4. Step 4: Simplify right side
   99,986x = 46,659,456,064
5. Step 5: Solve for x
   x = 46,659,456,064/99,986
6. Step 6: Final answer
   x = 466,659.89