Finding the Third Proportional to 461.81 and 675.56

Step by Step Solution

1. Step 1: Write the proportion equation
   461.81 : 675.56 = 675.56 : x
2. Step 2: Convert to fraction form
   461.81/675.56 = 675.56/x
3. Step 3: Cross multiply
   461.81x = 675.56 × 675.56
4. Step 4: Simplify right side
   461.81x = 456,384.69
5. Step 5: Solve for x
   x = 456,384.69/461.81
6. Step 6: Final answer
   x = 988.25