Finding the Third Proportional to 91,828 and 200,216

Step by Step Solution

1. Step 1: Write the proportion equation
   91,828 : 200,216 = 200,216 : x
2. Step 2: Convert to fraction form
   91,828/200,216 = 200,216/x
3. Step 3: Cross multiply
   91,828x = 200,216 × 200,216
4. Step 4: Simplify right side
   91,828x = 40,086,446,656
5. Step 5: Solve for x
   x = 40,086,446,656/91,828
6. Step 6: Final answer
   x = 436,538.38