Finding the Third Proportional to 89,273 and 194,571

Step by Step Solution

1. Step 1: Write the proportion equation
   89,273 : 194,571 = 194,571 : x
2. Step 2: Convert to fraction form
   89,273/194,571 = 194,571/x
3. Step 3: Cross multiply
   89,273x = 194,571 × 194,571
4. Step 4: Simplify right side
   89,273x = 37,857,874,041
5. Step 5: Solve for x
   x = 37,857,874,041/89,273
6. Step 6: Final answer
   x = 424,068.58