Finding the Third Proportional to 89,766 and 194,390

Step by Step Solution

1. Step 1: Write the proportion equation
   89,766 : 194,390 = 194,390 : x
2. Step 2: Convert to fraction form
   89,766/194,390 = 194,390/x
3. Step 3: Cross multiply
   89,766x = 194,390 × 194,390
4. Step 4: Simplify right side
   89,766x = 37,787,472,100
5. Step 5: Solve for x
   x = 37,787,472,100/89,766
6. Step 6: Final answer
   x = 420,955.28