Finding the Third Proportional to 89,842 and 194,636

Step by Step Solution

1. Step 1: Write the proportion equation
   89,842 : 194,636 = 194,636 : x
2. Step 2: Convert to fraction form
   89,842/194,636 = 194,636/x
3. Step 3: Cross multiply
   89,842x = 194,636 × 194,636
4. Step 4: Simplify right side
   89,842x = 37,883,172,496
5. Step 5: Solve for x
   x = 37,883,172,496/89,842
6. Step 6: Final answer
   x = 421,664.39