Finding the Third Proportional to 179.86 and 384.89

Step by Step Solution

1. Step 1: Write the proportion equation
   179.86 : 384.89 = 384.89 : x
2. Step 2: Convert to fraction form
   179.86/384.89 = 384.89/x
3. Step 3: Cross multiply
   179.86x = 384.89 × 384.89
4. Step 4: Simplify right side
   179.86x = 148,140.79
5. Step 5: Solve for x
   x = 148,140.79/179.86
6. Step 6: Final answer
   x = 823.65