Finding the Third Proportional to 318,920 and 493,500

Step by Step Solution

1. Step 1: Write the proportion equation
   318,920 : 493,500 = 493,500 : x
2. Step 2: Convert to fraction form
   318,920/493,500 = 493,500/x
3. Step 3: Cross multiply
   318,920x = 493,500 × 493,500
4. Step 4: Simplify right side
   318,920x = 243,542,250,000
5. Step 5: Solve for x
   x = 243,542,250,000/318,920
6. Step 6: Final answer
   x = 763,646.84