Finding the Third Proportional to 247.31 and 384.47

Step by Step Solution

1. Step 1: Write the proportion equation
   247.31 : 384.47 = 384.47 : x
2. Step 2: Convert to fraction form
   247.31/384.47 = 384.47/x
3. Step 3: Cross multiply
   247.31x = 384.47 × 384.47
4. Step 4: Simplify right side
   247.31x = 147,816.22
5. Step 5: Solve for x
   x = 147,816.22/247.31
6. Step 6: Final answer
   x = 597.69