Finding the Third Proportional to 108,724 and 237,384

Step by Step Solution

1. Step 1: Write the proportion equation
   108,724 : 237,384 = 237,384 : x
2. Step 2: Convert to fraction form
   108,724/237,384 = 237,384/x
3. Step 3: Cross multiply
   108,724x = 237,384 × 237,384
4. Step 4: Simplify right side
   108,724x = 56,351,163,456
5. Step 5: Solve for x
   x = 56,351,163,456/108,724
6. Step 6: Final answer
   x = 518,295.53