Finding the Third Proportional to 89,000 and 193,216

Step by Step Solution

1. Step 1: Write the proportion equation
   89,000 : 193,216 = 193,216 : x
2. Step 2: Convert to fraction form
   89,000/193,216 = 193,216/x
3. Step 3: Cross multiply
   89,000x = 193,216 × 193,216
4. Step 4: Simplify right side
   89,000x = 37,332,422,656
5. Step 5: Solve for x
   x = 37,332,422,656/89,000
6. Step 6: Final answer
   x = 419,465.42