Finding the Third Proportional to 172.31 and 260.06

Step by Step Solution

1. Step 1: Write the proportion equation
   172.31 : 260.06 = 260.06 : x
2. Step 2: Convert to fraction form
   172.31/260.06 = 260.06/x
3. Step 3: Cross multiply
   172.31x = 260.06 × 260.06
4. Step 4: Simplify right side
   172.31x = 67,632.50
5. Step 5: Solve for x
   x = 67,632.50/172.31
6. Step 6: Final answer
   x = 392.50