Finding the Third Proportional to 323,643 and 506,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   323,643 : 506,596.50 = 506,596.50 : x
2. Step 2: Convert to fraction form
   323,643/506,596.50 = 506,596.50/x
3. Step 3: Cross multiply
   323,643x = 506,596.50 × 506,596.50
4. Step 4: Simplify right side
   323,643x = 256,640,013,812.25
5. Step 5: Solve for x
   x = 256,640,013,812.25/323,643
6. Step 6: Final answer
   x = 792,972.55