Finding the Third Proportional to 158.63 and 338.63

Step by Step Solution

1. Step 1: Write the proportion equation
   158.63 : 338.63 = 338.63 : x
2. Step 2: Convert to fraction form
   158.63/338.63 = 338.63/x
3. Step 3: Cross multiply
   158.63x = 338.63 × 338.63
4. Step 4: Simplify right side
   158.63x = 114,666.89
5. Step 5: Solve for x
   x = 114,666.89/158.63
6. Step 6: Final answer
   x = 722.88