Finding the Third Proportional to 113,821.50 and 171,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,821.50 : 171,097.50 = 171,097.50 : x
2. Step 2: Convert to fraction form
   113,821.50/171,097.50 = 171,097.50/x
3. Step 3: Cross multiply
   113,821.50x = 171,097.50 × 171,097.50
4. Step 4: Simplify right side
   113,821.50x = 29,274,354,506.25
5. Step 5: Solve for x
   x = 29,274,354,506.25/113,821.50
6. Step 6: Final answer
   x = 257,195.30