Finding the Third Proportional to 196,647 and 462,240

Step by Step Solution

1. Step 1: Write the proportion equation
   196,647 : 462,240 = 462,240 : x
2. Step 2: Convert to fraction form
   196,647/462,240 = 462,240/x
3. Step 3: Cross multiply
   196,647x = 462,240 × 462,240
4. Step 4: Simplify right side
   196,647x = 213,665,817,600
5. Step 5: Solve for x
   x = 213,665,817,600/196,647
6. Step 6: Final answer
   x = 1,086,545.02