Finding the Third Proportional to 91,894 and 200,196

Step by Step Solution

1. Step 1: Write the proportion equation
   91,894 : 200,196 = 200,196 : x
2. Step 2: Convert to fraction form
   91,894/200,196 = 200,196/x
3. Step 3: Cross multiply
   91,894x = 200,196 × 200,196
4. Step 4: Simplify right side
   91,894x = 40,078,438,416
5. Step 5: Solve for x
   x = 40,078,438,416/91,894
6. Step 6: Final answer
   x = 436,137.71