Finding the Third Proportional to 264.38 and 385.88

Step by Step Solution

1. Step 1: Write the proportion equation
   264.38 : 385.88 = 385.88 : x
2. Step 2: Convert to fraction form
   264.38/385.88 = 385.88/x
3. Step 3: Cross multiply
   264.38x = 385.88 × 385.88
4. Step 4: Simplify right side
   264.38x = 148,899.52
5. Step 5: Solve for x
   x = 148,899.52/264.38
6. Step 6: Final answer
   x = 563.21