Finding the Third Proportional to 429.05 and 588.52

Step by Step Solution

1. Step 1: Write the proportion equation
   429.05 : 588.52 = 588.52 : x
2. Step 2: Convert to fraction form
   429.05/588.52 = 588.52/x
3. Step 3: Cross multiply
   429.05x = 588.52 × 588.52
4. Step 4: Simplify right side
   429.05x = 346,350.64
5. Step 5: Solve for x
   x = 346,350.64/429.05
6. Step 6: Final answer
   x = 807.26