Finding the Third Proportional to 89,771 and 194,400

Step by Step Solution

1. Step 1: Write the proportion equation
   89,771 : 194,400 = 194,400 : x
2. Step 2: Convert to fraction form
   89,771/194,400 = 194,400/x
3. Step 3: Cross multiply
   89,771x = 194,400 × 194,400
4. Step 4: Simplify right side
   89,771x = 37,791,360,000
5. Step 5: Solve for x
   x = 37,791,360,000/89,771
6. Step 6: Final answer
   x = 420,975.15