Finding the Third Proportional to 264.38 and 380.63

Step by Step Solution

1. Step 1: Write the proportion equation
   264.38 : 380.63 = 380.63 : x
2. Step 2: Convert to fraction form
   264.38/380.63 = 380.63/x
3. Step 3: Cross multiply
   264.38x = 380.63 × 380.63
4. Step 4: Simplify right side
   264.38x = 144,875.39
5. Step 5: Solve for x
   x = 144,875.39/264.38
6. Step 6: Final answer
   x = 547.99