Finding the Third Proportional to 298,648.50 and 462,418.50

Step by Step Solution

1. Step 1: Write the proportion equation
   298,648.50 : 462,418.50 = 462,418.50 : x
2. Step 2: Convert to fraction form
   298,648.50/462,418.50 = 462,418.50/x
3. Step 3: Cross multiply
   298,648.50x = 462,418.50 × 462,418.50
4. Step 4: Simplify right side
   298,648.50x = 213,830,869,142.25
5. Step 5: Solve for x
   x = 213,830,869,142.25/298,648.50
6. Step 6: Final answer
   x = 715,995.12