Finding the Third Proportional to 196,576 and 268,998

Step by Step Solution

1. Step 1: Write the proportion equation
   196,576 : 268,998 = 268,998 : x
2. Step 2: Convert to fraction form
   196,576/268,998 = 268,998/x
3. Step 3: Cross multiply
   196,576x = 268,998 × 268,998
4. Step 4: Simplify right side
   196,576x = 72,359,924,004
5. Step 5: Solve for x
   x = 72,359,924,004/196,576
6. Step 6: Final answer
   x = 368,101.52