Finding the Third Proportional to 196,581 and 462,111

Step by Step Solution

1. Step 1: Write the proportion equation
   196,581 : 462,111 = 462,111 : x
2. Step 2: Convert to fraction form
   196,581/462,111 = 462,111/x
3. Step 3: Cross multiply
   196,581x = 462,111 × 462,111
4. Step 4: Simplify right side
   196,581x = 213,546,576,321
5. Step 5: Solve for x
   x = 213,546,576,321/196,581
6. Step 6: Final answer
   x = 1,086,303.24