Finding the Third Proportional to 384.43 and 461.32

Step by Step Solution

1. Step 1: Write the proportion equation
   384.43 : 461.32 = 461.32 : x
2. Step 2: Convert to fraction form
   384.43/461.32 = 461.32/x
3. Step 3: Cross multiply
   384.43x = 461.32 × 461.32
4. Step 4: Simplify right side
   384.43x = 212,816.43
5. Step 5: Solve for x
   x = 212,816.43/384.43
6. Step 6: Final answer
   x = 553.58