Finding the Third Proportional to 89,932 and 194,273

Step by Step Solution

1. Step 1: Write the proportion equation
   89,932 : 194,273 = 194,273 : x
2. Step 2: Convert to fraction form
   89,932/194,273 = 194,273/x
3. Step 3: Cross multiply
   89,932x = 194,273 × 194,273
4. Step 4: Simplify right side
   89,932x = 37,741,998,529
5. Step 5: Solve for x
   x = 37,741,998,529/89,932
6. Step 6: Final answer
   x = 419,672.63