Finding the Third Proportional to 429.88 and 592.69

Step by Step Solution

1. Step 1: Write the proportion equation
   429.88 : 592.69 = 592.69 : x
2. Step 2: Convert to fraction form
   429.88/592.69 = 592.69/x
3. Step 3: Cross multiply
   429.88x = 592.69 × 592.69
4. Step 4: Simplify right side
   429.88x = 351,278.47
5. Step 5: Solve for x
   x = 351,278.47/429.88
6. Step 6: Final answer
   x = 817.16