Finding the Third Proportional to 89,934 and 194,276

Step by Step Solution

1. Step 1: Write the proportion equation
   89,934 : 194,276 = 194,276 : x
2. Step 2: Convert to fraction form
   89,934/194,276 = 194,276/x
3. Step 3: Cross multiply
   89,934x = 194,276 × 194,276
4. Step 4: Simplify right side
   89,934x = 37,743,164,176
5. Step 5: Solve for x
   x = 37,743,164,176/89,934
6. Step 6: Final answer
   x = 419,676.25