Finding the Third Proportional to 89,584 and 197,216

Step by Step Solution

1. Step 1: Write the proportion equation
   89,584 : 197,216 = 197,216 : x
2. Step 2: Convert to fraction form
   89,584/197,216 = 197,216/x
3. Step 3: Cross multiply
   89,584x = 197,216 × 197,216
4. Step 4: Simplify right side
   89,584x = 38,894,150,656
5. Step 5: Solve for x
   x = 38,894,150,656/89,584
6. Step 6: Final answer
   x = 434,164.03