Finding the Third Proportional to 298,637 and 462,456

Step by Step Solution

1. Step 1: Write the proportion equation
   298,637 : 462,456 = 462,456 : x
2. Step 2: Convert to fraction form
   298,637/462,456 = 462,456/x
3. Step 3: Cross multiply
   298,637x = 462,456 × 462,456
4. Step 4: Simplify right side
   298,637x = 213,865,551,936
5. Step 5: Solve for x
   x = 213,865,551,936/298,637
6. Step 6: Final answer
   x = 716,138.83