Finding the Third Proportional to 172 and 264.31

Step by Step Solution

1. Step 1: Write the proportion equation
   172 : 264.31 = 264.31 : x
2. Step 2: Convert to fraction form
   172/264.31 = 264.31/x
3. Step 3: Cross multiply
   172x = 264.31 × 264.31
4. Step 4: Simplify right side
   172x = 69,861.10
5. Step 5: Solve for x
   x = 69,861.10/172
6. Step 6: Final answer
   x = 406.17