Finding the Third Proportional to 114,894 and 172,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,894 : 172,462.50 = 172,462.50 : x
2. Step 2: Convert to fraction form
   114,894/172,462.50 = 172,462.50/x
3. Step 3: Cross multiply
   114,894x = 172,462.50 × 172,462.50
4. Step 4: Simplify right side
   114,894x = 29,743,313,906.25
5. Step 5: Solve for x
   x = 29,743,313,906.25/114,894
6. Step 6: Final answer
   x = 258,876.13