Finding the Third Proportional to 89,858 and 197,284

Step by Step Solution

1. Step 1: Write the proportion equation
   89,858 : 197,284 = 197,284 : x
2. Step 2: Convert to fraction form
   89,858/197,284 = 197,284/x
3. Step 3: Cross multiply
   89,858x = 197,284 × 197,284
4. Step 4: Simplify right side
   89,858x = 38,920,976,656
5. Step 5: Solve for x
   x = 38,920,976,656/89,858
6. Step 6: Final answer
   x = 433,138.69