Finding the Third Proportional to 90,638 and 194,401

Step by Step Solution

1. Step 1: Write the proportion equation
   90,638 : 194,401 = 194,401 : x
2. Step 2: Convert to fraction form
   90,638/194,401 = 194,401/x
3. Step 3: Cross multiply
   90,638x = 194,401 × 194,401
4. Step 4: Simplify right side
   90,638x = 37,791,748,801
5. Step 5: Solve for x
   x = 37,791,748,801/90,638
6. Step 6: Final answer
   x = 416,952.59