Finding the Third Proportional to 185.63 and 356.06

Step by Step Solution

1. Step 1: Write the proportion equation
   185.63 : 356.06 = 356.06 : x
2. Step 2: Convert to fraction form
   185.63/356.06 = 356.06/x
3. Step 3: Cross multiply
   185.63x = 356.06 × 356.06
4. Step 4: Simplify right side
   185.63x = 126,780.50
5. Step 5: Solve for x
   x = 126,780.50/185.63
6. Step 6: Final answer
   x = 682.99