Finding the Third Proportional to 89,747 and 194,353

Step by Step Solution

1. Step 1: Write the proportion equation
   89,747 : 194,353 = 194,353 : x
2. Step 2: Convert to fraction form
   89,747/194,353 = 194,353/x
3. Step 3: Cross multiply
   89,747x = 194,353 × 194,353
4. Step 4: Simplify right side
   89,747x = 37,773,088,609
5. Step 5: Solve for x
   x = 37,773,088,609/89,747
6. Step 6: Final answer
   x = 420,884.14