Finding the Third Proportional to 90,900 and 194,436

Step by Step Solution

1. Step 1: Write the proportion equation
   90,900 : 194,436 = 194,436 : x
2. Step 2: Convert to fraction form
   90,900/194,436 = 194,436/x
3. Step 3: Cross multiply
   90,900x = 194,436 × 194,436
4. Step 4: Simplify right side
   90,900x = 37,805,358,096
5. Step 5: Solve for x
   x = 37,805,358,096/90,900
6. Step 6: Final answer
   x = 415,900.53