Finding the Third Proportional to 461.94 and 641.69

Step by Step Solution

1. Step 1: Write the proportion equation
   461.94 : 641.69 = 641.69 : x
2. Step 2: Convert to fraction form
   461.94/641.69 = 641.69/x
3. Step 3: Cross multiply
   461.94x = 641.69 × 641.69
4. Step 4: Simplify right side
   461.94x = 411,762.85
5. Step 5: Solve for x
   x = 411,762.85/461.94
6. Step 6: Final answer
   x = 891.38