Finding the Third Proportional to 249.47 and 384.61

Step by Step Solution

1. Step 1: Write the proportion equation
   249.47 : 384.61 = 384.61 : x
2. Step 2: Convert to fraction form
   249.47/384.61 = 384.61/x
3. Step 3: Cross multiply
   249.47x = 384.61 × 384.61
4. Step 4: Simplify right side
   249.47x = 147,924.37
5. Step 5: Solve for x
   x = 147,924.37/249.47
6. Step 6: Final answer
   x = 592.96