Finding the Third Proportional to 114,724 and 269,916

Step by Step Solution

1. Step 1: Write the proportion equation
   114,724 : 269,916 = 269,916 : x
2. Step 2: Convert to fraction form
   114,724/269,916 = 269,916/x
3. Step 3: Cross multiply
   114,724x = 269,916 × 269,916
4. Step 4: Simplify right side
   114,724x = 72,854,647,056
5. Step 5: Solve for x
   x = 72,854,647,056/114,724
6. Step 6: Final answer
   x = 635,042.77