Finding the Third Proportional to 99,780 and 217,016

Step by Step Solution

1. Step 1: Write the proportion equation
   99,780 : 217,016 = 217,016 : x
2. Step 2: Convert to fraction form
   99,780/217,016 = 217,016/x
3. Step 3: Cross multiply
   99,780x = 217,016 × 217,016
4. Step 4: Simplify right side
   99,780x = 47,095,944,256
5. Step 5: Solve for x
   x = 47,095,944,256/99,780
6. Step 6: Final answer
   x = 471,997.84