Finding the Third Proportional to 89,613 and 196,695

Step by Step Solution

1. Step 1: Write the proportion equation
   89,613 : 196,695 = 196,695 : x
2. Step 2: Convert to fraction form
   89,613/196,695 = 196,695/x
3. Step 3: Cross multiply
   89,613x = 196,695 × 196,695
4. Step 4: Simplify right side
   89,613x = 38,688,923,025
5. Step 5: Solve for x
   x = 38,688,923,025/89,613
6. Step 6: Final answer
   x = 431,733.38