Finding the Third Proportional to 116,824 and 171,084

Step by Step Solution

1. Step 1: Write the proportion equation
   116,824 : 171,084 = 171,084 : x
2. Step 2: Convert to fraction form
   116,824/171,084 = 171,084/x
3. Step 3: Cross multiply
   116,824x = 171,084 × 171,084
4. Step 4: Simplify right side
   116,824x = 29,269,735,056
5. Step 5: Solve for x
   x = 29,269,735,056/116,824
6. Step 6: Final answer
   x = 250,545.56