Finding the Third Proportional to 300.25 and 461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300.25 : 461.50 = 461.50 : x
2. Step 2: Convert to fraction form
   300.25/461.50 = 461.50/x
3. Step 3: Cross multiply
   300.25x = 461.50 × 461.50
4. Step 4: Simplify right side
   300.25x = 212,982.25
5. Step 5: Solve for x
   x = 212,982.25/300.25
6. Step 6: Final answer
   x = 709.35