Finding the Third Proportional to 432.38 and 579.56

Step by Step Solution

1. Step 1: Write the proportion equation
   432.38 : 579.56 = 579.56 : x
2. Step 2: Convert to fraction form
   432.38/579.56 = 579.56/x
3. Step 3: Cross multiply
   432.38x = 579.56 × 579.56
4. Step 4: Simplify right side
   432.38x = 335,892.69
5. Step 5: Solve for x
   x = 335,892.69/432.38
6. Step 6: Final answer
   x = 776.86