Finding the Third Proportional to 176.63 and 300.38

Step by Step Solution

1. Step 1: Write the proportion equation
   176.63 : 300.38 = 300.38 : x
2. Step 2: Convert to fraction form
   176.63/300.38 = 300.38/x
3. Step 3: Cross multiply
   176.63x = 300.38 × 300.38
4. Step 4: Simplify right side
   176.63x = 90,225.14
5. Step 5: Solve for x
   x = 90,225.14/176.63
6. Step 6: Final answer
   x = 510.83