Finding the Third Proportional to 113,827.50 and 171,108

Step by Step Solution

1. Step 1: Write the proportion equation
   113,827.50 : 171,108 = 171,108 : x
2. Step 2: Convert to fraction form
   113,827.50/171,108 = 171,108/x
3. Step 3: Cross multiply
   113,827.50x = 171,108 × 171,108
4. Step 4: Simplify right side
   113,827.50x = 29,277,947,664
5. Step 5: Solve for x
   x = 29,277,947,664/113,827.50
6. Step 6: Final answer
   x = 257,213.31