Finding the Third Proportional to 89,919 and 194,418

Step by Step Solution

1. Step 1: Write the proportion equation
   89,919 : 194,418 = 194,418 : x
2. Step 2: Convert to fraction form
   89,919/194,418 = 194,418/x
3. Step 3: Cross multiply
   89,919x = 194,418 × 194,418
4. Step 4: Simplify right side
   89,919x = 37,798,358,724
5. Step 5: Solve for x
   x = 37,798,358,724/89,919
6. Step 6: Final answer
   x = 420,360.09