Finding the Third Proportional to 332.86 and 501.82

Step by Step Solution

1. Step 1: Write the proportion equation
   332.86 : 501.82 = 501.82 : x
2. Step 2: Convert to fraction form
   332.86/501.82 = 501.82/x
3. Step 3: Cross multiply
   332.86x = 501.82 × 501.82
4. Step 4: Simplify right side
   332.86x = 251,823.63
5. Step 5: Solve for x
   x = 251,823.63/332.86
6. Step 6: Final answer
   x = 756.55