Finding the Third Proportional to 89,834 and 194,619

Step by Step Solution

1. Step 1: Write the proportion equation
   89,834 : 194,619 = 194,619 : x
2. Step 2: Convert to fraction form
   89,834/194,619 = 194,619/x
3. Step 3: Cross multiply
   89,834x = 194,619 × 194,619
4. Step 4: Simplify right side
   89,834x = 37,876,555,161
5. Step 5: Solve for x
   x = 37,876,555,161/89,834
6. Step 6: Final answer
   x = 421,628.28