Finding the Third Proportional to 456.69 and 622.88

Step by Step Solution

1. Step 1: Write the proportion equation
   456.69 : 622.88 = 622.88 : x
2. Step 2: Convert to fraction form
   456.69/622.88 = 622.88/x
3. Step 3: Cross multiply
   456.69x = 622.88 × 622.88
4. Step 4: Simplify right side
   456.69x = 387,973.27
5. Step 5: Solve for x
   x = 387,973.27/456.69
6. Step 6: Final answer
   x = 849.54