Finding the Third Proportional to 198,013.50 and 462,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   198,013.50 : 462,046.50 = 462,046.50 : x
2. Step 2: Convert to fraction form
   198,013.50/462,046.50 = 462,046.50/x
3. Step 3: Cross multiply
   198,013.50x = 462,046.50 × 462,046.50
4. Step 4: Simplify right side
   198,013.50x = 213,486,968,162.25
5. Step 5: Solve for x
   x = 213,486,968,162.25/198,013.50
6. Step 6: Final answer
   x = 1,078,143.50