Finding the Third Proportional to 108,764 and 223,384

Step by Step Solution

1. Step 1: Write the proportion equation
   108,764 : 223,384 = 223,384 : x
2. Step 2: Convert to fraction form
   108,764/223,384 = 223,384/x
3. Step 3: Cross multiply
   108,764x = 223,384 × 223,384
4. Step 4: Simplify right side
   108,764x = 49,900,411,456
5. Step 5: Solve for x
   x = 49,900,411,456/108,764
6. Step 6: Final answer
   x = 458,795.29