Finding the Third Proportional to 96,644 and 196,020

Step by Step Solution

1. Step 1: Write the proportion equation
   96,644 : 196,020 = 196,020 : x
2. Step 2: Convert to fraction form
   96,644/196,020 = 196,020/x
3. Step 3: Cross multiply
   96,644x = 196,020 × 196,020
4. Step 4: Simplify right side
   96,644x = 38,423,840,400
5. Step 5: Solve for x
   x = 38,423,840,400/96,644
6. Step 6: Final answer
   x = 397,581.23