Finding the Third Proportional to 385.07 and 512.10

Step by Step Solution

1. Step 1: Write the proportion equation
   385.07 : 512.10 = 512.10 : x
2. Step 2: Convert to fraction form
   385.07/512.10 = 512.10/x
3. Step 3: Cross multiply
   385.07x = 512.10 × 512.10
4. Step 4: Simplify right side
   385.07x = 262,250.01
5. Step 5: Solve for x
   x = 262,250.01/385.07
6. Step 6: Final answer
   x = 681.05