Finding the Third Proportional to 89,757 and 194,373

Step by Step Solution

1. Step 1: Write the proportion equation
   89,757 : 194,373 = 194,373 : x
2. Step 2: Convert to fraction form
   89,757/194,373 = 194,373/x
3. Step 3: Cross multiply
   89,757x = 194,373 × 194,373
4. Step 4: Simplify right side
   89,757x = 37,780,863,129
5. Step 5: Solve for x
   x = 37,780,863,129/89,757
6. Step 6: Final answer
   x = 420,923.86