Finding the Third Proportional to 114,537 and 172,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,537 : 172,021.50 = 172,021.50 : x
2. Step 2: Convert to fraction form
   114,537/172,021.50 = 172,021.50/x
3. Step 3: Cross multiply
   114,537x = 172,021.50 × 172,021.50
4. Step 4: Simplify right side
   114,537x = 29,591,396,462.25
5. Step 5: Solve for x
   x = 29,591,396,462.25/114,537
6. Step 6: Final answer
   x = 258,356.66