Finding the Third Proportional to 384.19 and 424.69

Step by Step Solution

1. Step 1: Write the proportion equation
   384.19 : 424.69 = 424.69 : x
2. Step 2: Convert to fraction form
   384.19/424.69 = 424.69/x
3. Step 3: Cross multiply
   384.19x = 424.69 × 424.69
4. Step 4: Simplify right side
   384.19x = 180,359.47
5. Step 5: Solve for x
   x = 180,359.47/384.19
6. Step 6: Final answer
   x = 469.46