Finding the Third Proportional to 179.56 and 384.31

Step by Step Solution

1. Step 1: Write the proportion equation
   179.56 : 384.31 = 384.31 : x
2. Step 2: Convert to fraction form
   179.56/384.31 = 384.31/x
3. Step 3: Cross multiply
   179.56x = 384.31 × 384.31
4. Step 4: Simplify right side
   179.56x = 147,697.97
5. Step 5: Solve for x
   x = 147,697.97/179.56
6. Step 6: Final answer
   x = 822.55