Finding the Third Proportional to 280.31 and 384.94

Step by Step Solution

1. Step 1: Write the proportion equation
   280.31 : 384.94 = 384.94 : x
2. Step 2: Convert to fraction form
   280.31/384.94 = 384.94/x
3. Step 3: Cross multiply
   280.31x = 384.94 × 384.94
4. Step 4: Simplify right side
   280.31x = 148,176.88
5. Step 5: Solve for x
   x = 148,176.88/280.31
6. Step 6: Final answer
   x = 528.61