Finding the Third Proportional to 90,920 and 194,474

Step by Step Solution

1. Step 1: Write the proportion equation
   90,920 : 194,474 = 194,474 : x
2. Step 2: Convert to fraction form
   90,920/194,474 = 194,474/x
3. Step 3: Cross multiply
   90,920x = 194,474 × 194,474
4. Step 4: Simplify right side
   90,920x = 37,820,136,676
5. Step 5: Solve for x
   x = 37,820,136,676/90,920
6. Step 6: Final answer
   x = 415,971.59