Finding the Third Proportional to 89,770 and 194,398

Step by Step Solution

1. Step 1: Write the proportion equation
   89,770 : 194,398 = 194,398 : x
2. Step 2: Convert to fraction form
   89,770/194,398 = 194,398/x
3. Step 3: Cross multiply
   89,770x = 194,398 × 194,398
4. Step 4: Simplify right side
   89,770x = 37,790,582,404
5. Step 5: Solve for x
   x = 37,790,582,404/89,770
6. Step 6: Final answer
   x = 420,971.18