Finding the Third Proportional to 113,500 and 171,828

Step by Step Solution

1. Step 1: Write the proportion equation
   113,500 : 171,828 = 171,828 : x
2. Step 2: Convert to fraction form
   113,500/171,828 = 171,828/x
3. Step 3: Cross multiply
   113,500x = 171,828 × 171,828
4. Step 4: Simplify right side
   113,500x = 29,524,861,584
5. Step 5: Solve for x
   x = 29,524,861,584/113,500
6. Step 6: Final answer
   x = 260,130.94