Finding the Third Proportional to 89,162 and 193,684

Step by Step Solution

1. Step 1: Write the proportion equation
   89,162 : 193,684 = 193,684 : x
2. Step 2: Convert to fraction form
   89,162/193,684 = 193,684/x
3. Step 3: Cross multiply
   89,162x = 193,684 × 193,684
4. Step 4: Simplify right side
   89,162x = 37,513,491,856
5. Step 5: Solve for x
   x = 37,513,491,856/89,162
6. Step 6: Final answer
   x = 420,734.08