Finding the Third Proportional to 89,741 and 194,341

Step by Step Solution

1. Step 1: Write the proportion equation
   89,741 : 194,341 = 194,341 : x
2. Step 2: Convert to fraction form
   89,741/194,341 = 194,341/x
3. Step 3: Cross multiply
   89,741x = 194,341 × 194,341
4. Step 4: Simplify right side
   89,741x = 37,768,424,281
5. Step 5: Solve for x
   x = 37,768,424,281/89,741
6. Step 6: Final answer
   x = 420,860.30