Finding the Third Proportional to 89,217 and 196,176.38

Step by Step Solution

1. Step 1: Write the proportion equation
   89,217 : 196,176.38 = 196,176.38 : x
2. Step 2: Convert to fraction form
   89,217/196,176.38 = 196,176.38/x
3. Step 3: Cross multiply
   89,217x = 196,176.38 × 196,176.38
4. Step 4: Simplify right side
   89,217x = 38,485,170,108.14
5. Step 5: Solve for x
   x = 38,485,170,108.14/89,217
6. Step 6: Final answer
   x = 431,365.88