Finding the Third Proportional to 89,355 and 196,491

Step by Step Solution

1. Step 1: Write the proportion equation
   89,355 : 196,491 = 196,491 : x
2. Step 2: Convert to fraction form
   89,355/196,491 = 196,491/x
3. Step 3: Cross multiply
   89,355x = 196,491 × 196,491
4. Step 4: Simplify right side
   89,355x = 38,608,713,081
5. Step 5: Solve for x
   x = 38,608,713,081/89,355
6. Step 6: Final answer
   x = 432,082.29