Finding the Third Proportional to 196,576 and 462,062

Step by Step Solution

1. Step 1: Write the proportion equation
   196,576 : 462,062 = 462,062 : x
2. Step 2: Convert to fraction form
   196,576/462,062 = 462,062/x
3. Step 3: Cross multiply
   196,576x = 462,062 × 462,062
4. Step 4: Simplify right side
   196,576x = 213,501,291,844
5. Step 5: Solve for x
   x = 213,501,291,844/196,576
6. Step 6: Final answer
   x = 1,086,100.50