Finding the Third Proportional to 267,936 and 426,504

Step by Step Solution

1. Step 1: Write the proportion equation
   267,936 : 426,504 = 426,504 : x
2. Step 2: Convert to fraction form
   267,936/426,504 = 426,504/x
3. Step 3: Cross multiply
   267,936x = 426,504 × 426,504
4. Step 4: Simplify right side
   267,936x = 181,905,662,016
5. Step 5: Solve for x
   x = 181,905,662,016/267,936
6. Step 6: Final answer
   x = 678,914.60