Finding the Third Proportional to 64.69 and 175.78

Step by Step Solution

1. Step 1: Write the proportion equation
   64.69 : 175.78 = 175.78 : x
2. Step 2: Convert to fraction form
   64.69/175.78 = 175.78/x
3. Step 3: Cross multiply
   64.69x = 175.78 × 175.78
4. Step 4: Simplify right side
   64.69x = 30,899.05
5. Step 5: Solve for x
   x = 30,899.05/64.69
6. Step 6: Final answer
   x = 477.67