Finding the Third Proportional to 114,608 and 172,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,608 : 172,128.50 = 172,128.50 : x
2. Step 2: Convert to fraction form
   114,608/172,128.50 = 172,128.50/x
3. Step 3: Cross multiply
   114,608x = 172,128.50 × 172,128.50
4. Step 4: Simplify right side
   114,608x = 29,628,220,512.25
5. Step 5: Solve for x
   x = 29,628,220,512.25/114,608
6. Step 6: Final answer
   x = 258,517.91