Finding the Third Proportional to 258.19 and 383.48

Step by Step Solution

1. Step 1: Write the proportion equation
   258.19 : 383.48 = 383.48 : x
2. Step 2: Convert to fraction form
   258.19/383.48 = 383.48/x
3. Step 3: Cross multiply
   258.19x = 383.48 × 383.48
4. Step 4: Simplify right side
   258.19x = 147,060.27
5. Step 5: Solve for x
   x = 147,060.27/258.19
6. Step 6: Final answer
   x = 569.59