Finding the Third Proportional to 323,596.50 and 506,520

Step by Step Solution

1. Step 1: Write the proportion equation
   323,596.50 : 506,520 = 506,520 : x
2. Step 2: Convert to fraction form
   323,596.50/506,520 = 506,520/x
3. Step 3: Cross multiply
   323,596.50x = 506,520 × 506,520
4. Step 4: Simplify right side
   323,596.50x = 256,562,510,400
5. Step 5: Solve for x
   x = 256,562,510,400/323,596.50
6. Step 6: Final answer
   x = 792,846.99