Finding the Third Proportional to 91,286 and 196,196

Step by Step Solution

1. Step 1: Write the proportion equation
   91,286 : 196,196 = 196,196 : x
2. Step 2: Convert to fraction form
   91,286/196,196 = 196,196/x
3. Step 3: Cross multiply
   91,286x = 196,196 × 196,196
4. Step 4: Simplify right side
   91,286x = 38,492,870,416
5. Step 5: Solve for x
   x = 38,492,870,416/91,286
6. Step 6: Final answer
   x = 421,673.32