Finding the Third Proportional to 243,820 and 323,616

Step by Step Solution

1. Step 1: Write the proportion equation
   243,820 : 323,616 = 323,616 : x
2. Step 2: Convert to fraction form
   243,820/323,616 = 323,616/x
3. Step 3: Cross multiply
   243,820x = 323,616 × 323,616
4. Step 4: Simplify right side
   243,820x = 104,727,315,456
5. Step 5: Solve for x
   x = 104,727,315,456/243,820
6. Step 6: Final answer
   x = 429,527.17