Finding the Third Proportional to 113,812 and 171,084

Step by Step Solution

1. Step 1: Write the proportion equation
   113,812 : 171,084 = 171,084 : x
2. Step 2: Convert to fraction form
   113,812/171,084 = 171,084/x
3. Step 3: Cross multiply
   113,812x = 171,084 × 171,084
4. Step 4: Simplify right side
   113,812x = 29,269,735,056
5. Step 5: Solve for x
   x = 29,269,735,056/113,812
6. Step 6: Final answer
   x = 257,176.18