Finding the Third Proportional to 96,644 and 196,007

Step by Step Solution

1. Step 1: Write the proportion equation
   96,644 : 196,007 = 196,007 : x
2. Step 2: Convert to fraction form
   96,644/196,007 = 196,007/x
3. Step 3: Cross multiply
   96,644x = 196,007 × 196,007
4. Step 4: Simplify right side
   96,644x = 38,418,744,049
5. Step 5: Solve for x
   x = 38,418,744,049/96,644
6. Step 6: Final answer
   x = 397,528.50