Finding the Third Proportional to 435.16 and 575.86

Step by Step Solution

1. Step 1: Write the proportion equation
   435.16 : 575.86 = 575.86 : x
2. Step 2: Convert to fraction form
   435.16/575.86 = 575.86/x
3. Step 3: Cross multiply
   435.16x = 575.86 × 575.86
4. Step 4: Simplify right side
   435.16x = 331,614.02
5. Step 5: Solve for x
   x = 331,614.02/435.16
6. Step 6: Final answer
   x = 762.04