Finding the Third Proportional to 234.56 and 383.16

Step by Step Solution

1. Step 1: Write the proportion equation
   234.56 : 383.16 = 383.16 : x
2. Step 2: Convert to fraction form
   234.56/383.16 = 383.16/x
3. Step 3: Cross multiply
   234.56x = 383.16 × 383.16
4. Step 4: Simplify right side
   234.56x = 146,808.71
5. Step 5: Solve for x
   x = 146,808.71/234.56
6. Step 6: Final answer
   x = 625.88