Finding the Third Proportional to 89,476 and 194,936

Step by Step Solution

1. Step 1: Write the proportion equation
   89,476 : 194,936 = 194,936 : x
2. Step 2: Convert to fraction form
   89,476/194,936 = 194,936/x
3. Step 3: Cross multiply
   89,476x = 194,936 × 194,936
4. Step 4: Simplify right side
   89,476x = 38,000,044,096
5. Step 5: Solve for x
   x = 38,000,044,096/89,476
6. Step 6: Final answer
   x = 424,695.38