Finding the Third Proportional to 89,538 and 194,892

Step by Step Solution

1. Step 1: Write the proportion equation
   89,538 : 194,892 = 194,892 : x
2. Step 2: Convert to fraction form
   89,538/194,892 = 194,892/x
3. Step 3: Cross multiply
   89,538x = 194,892 × 194,892
4. Step 4: Simplify right side
   89,538x = 37,982,891,664
5. Step 5: Solve for x
   x = 37,982,891,664/89,538
6. Step 6: Final answer
   x = 424,209.74