Finding the Third Proportional to 90,596 and 197,648

Step by Step Solution

1. Step 1: Write the proportion equation
   90,596 : 197,648 = 197,648 : x
2. Step 2: Convert to fraction form
   90,596/197,648 = 197,648/x
3. Step 3: Cross multiply
   90,596x = 197,648 × 197,648
4. Step 4: Simplify right side
   90,596x = 39,064,731,904
5. Step 5: Solve for x
   x = 39,064,731,904/90,596
6. Step 6: Final answer
   x = 431,197.09