Finding the Third Proportional to 90,660 and 196,383

Step by Step Solution

1. Step 1: Write the proportion equation
   90,660 : 196,383 = 196,383 : x
2. Step 2: Convert to fraction form
   90,660/196,383 = 196,383/x
3. Step 3: Cross multiply
   90,660x = 196,383 × 196,383
4. Step 4: Simplify right side
   90,660x = 38,566,282,689
5. Step 5: Solve for x
   x = 38,566,282,689/90,660
6. Step 6: Final answer
   x = 425,394.69