Finding the Third Proportional to 176.63 and 268.59

Step by Step Solution

1. Step 1: Write the proportion equation
   176.63 : 268.59 = 268.59 : x
2. Step 2: Convert to fraction form
   176.63/268.59 = 268.59/x
3. Step 3: Cross multiply
   176.63x = 268.59 × 268.59
4. Step 4: Simplify right side
   176.63x = 72,142.60
5. Step 5: Solve for x
   x = 72,142.60/176.63
6. Step 6: Final answer
   x = 408.45