Finding the Third Proportional to 429.13 and 581.38

Step by Step Solution

1. Step 1: Write the proportion equation
   429.13 : 581.38 = 581.38 : x
2. Step 2: Convert to fraction form
   429.13/581.38 = 581.38/x
3. Step 3: Cross multiply
   429.13x = 581.38 × 581.38
4. Step 4: Simplify right side
   429.13x = 337,996.89
5. Step 5: Solve for x
   x = 337,996.89/429.13
6. Step 6: Final answer
   x = 787.64