Finding the Third Proportional to 90,200 and 194,701

Step by Step Solution

1. Step 1: Write the proportion equation
   90,200 : 194,701 = 194,701 : x
2. Step 2: Convert to fraction form
   90,200/194,701 = 194,701/x
3. Step 3: Cross multiply
   90,200x = 194,701 × 194,701
4. Step 4: Simplify right side
   90,200x = 37,908,479,401
5. Step 5: Solve for x
   x = 37,908,479,401/90,200
6. Step 6: Final answer
   x = 420,271.39