Finding the Third Proportional to 267,008 and 541,384

Step by Step Solution

1. Step 1: Write the proportion equation
   267,008 : 541,384 = 541,384 : x
2. Step 2: Convert to fraction form
   267,008/541,384 = 541,384/x
3. Step 3: Cross multiply
   267,008x = 541,384 × 541,384
4. Step 4: Simplify right side
   267,008x = 293,096,635,456
5. Step 5: Solve for x
   x = 293,096,635,456/267,008
6. Step 6: Final answer
   x = 1,097,707.32