Finding the Third Proportional to 323,139 and 493,456

Step by Step Solution

1. Step 1: Write the proportion equation
   323,139 : 493,456 = 493,456 : x
2. Step 2: Convert to fraction form
   323,139/493,456 = 493,456/x
3. Step 3: Cross multiply
   323,139x = 493,456 × 493,456
4. Step 4: Simplify right side
   323,139x = 243,498,823,936
5. Step 5: Solve for x
   x = 243,498,823,936/323,139
6. Step 6: Final answer
   x = 753,542.05