Finding the Third Proportional to 89,293 and 196,442

Step by Step Solution

1. Step 1: Write the proportion equation
   89,293 : 196,442 = 196,442 : x
2. Step 2: Convert to fraction form
   89,293/196,442 = 196,442/x
3. Step 3: Cross multiply
   89,293x = 196,442 × 196,442
4. Step 4: Simplify right side
   89,293x = 38,589,459,364
5. Step 5: Solve for x
   x = 38,589,459,364/89,293
6. Step 6: Final answer
   x = 432,166.68