Finding the Third Proportional to 89,370 and 196,451

Step by Step Solution

1. Step 1: Write the proportion equation
   89,370 : 196,451 = 196,451 : x
2. Step 2: Convert to fraction form
   89,370/196,451 = 196,451/x
3. Step 3: Cross multiply
   89,370x = 196,451 × 196,451
4. Step 4: Simplify right side
   89,370x = 38,592,995,401
5. Step 5: Solve for x
   x = 38,592,995,401/89,370
6. Step 6: Final answer
   x = 431,833.90