Finding the Third Proportional to 351.88 and 512.69

Step by Step Solution

1. Step 1: Write the proportion equation
   351.88 : 512.69 = 512.69 : x
2. Step 2: Convert to fraction form
   351.88/512.69 = 512.69/x
3. Step 3: Cross multiply
   351.88x = 512.69 × 512.69
4. Step 4: Simplify right side
   351.88x = 262,848.47
5. Step 5: Solve for x
   x = 262,848.47/351.88
6. Step 6: Final answer
   x = 746.99