Finding the Third Proportional to 185.06 and 384.94

Step by Step Solution

1. Step 1: Write the proportion equation
   185.06 : 384.94 = 384.94 : x
2. Step 2: Convert to fraction form
   185.06/384.94 = 384.94/x
3. Step 3: Cross multiply
   185.06x = 384.94 × 384.94
4. Step 4: Simplify right side
   185.06x = 148,176.88
5. Step 5: Solve for x
   x = 148,176.88/185.06
6. Step 6: Final answer
   x = 800.69