Finding the Third Proportional to 100,216 and 215,936

Step by Step Solution

1. Step 1: Write the proportion equation
   100,216 : 215,936 = 215,936 : x
2. Step 2: Convert to fraction form
   100,216/215,936 = 215,936/x
3. Step 3: Cross multiply
   100,216x = 215,936 × 215,936
4. Step 4: Simplify right side
   100,216x = 46,628,356,096
5. Step 5: Solve for x
   x = 46,628,356,096/100,216
6. Step 6: Final answer
   x = 465,278.56