Finding the Third Proportional to 89,711.50 and 194,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,711.50 : 194,286.50 = 194,286.50 : x
2. Step 2: Convert to fraction form
   89,711.50/194,286.50 = 194,286.50/x
3. Step 3: Cross multiply
   89,711.50x = 194,286.50 × 194,286.50
4. Step 4: Simplify right side
   89,711.50x = 37,747,244,082.25
5. Step 5: Solve for x
   x = 37,747,244,082.25/89,711.50
6. Step 6: Final answer
   x = 420,762.60