Finding the Third Proportional to 113,529 and 171,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,529 : 171,865.50 = 171,865.50 : x
2. Step 2: Convert to fraction form
   113,529/171,865.50 = 171,865.50/x
3. Step 3: Cross multiply
   113,529x = 171,865.50 × 171,865.50
4. Step 4: Simplify right side
   113,529x = 29,537,750,090.25
5. Step 5: Solve for x
   x = 29,537,750,090.25/113,529
6. Step 6: Final answer
   x = 260,178.02